Given P(A) = 0.3 and P(B) = 0.9, do the following. (a) If A and B are independent events, compute P(A and B). (b) If P(A | B) = 0.4, compute P(A and B).

Q: There are four boxes, each containing five coats: a red coat, a blue coat, a green coat, a yellow…

A: There are total 5 coats then probability of selecting any coat is p= 1/5  There are 4 people who…

Q: A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue,…

A: Answer: Total number of candies in the bag = 50 Number of red candies = 28 Number of blue candies =…

Q: 1. Suppose C1, C2, C3, ... is a nondecreasing sequence of sets, i.e., Ck C Ck+1, for k= 1, 2, 3, . .…

A: This is a simple problem from set theory and limit

Q: Roll a pair of four-sided dice. If the sum is 2 or 8, win $10. If the sum is 3 or 7, win $5.…

A: roll a four sided dice , outcomes: {1,2,3,4}   roll pair of four sided dice total outcomes = 4*4 =…

Q: A study examined the interactions in a children's museum. (Interactions by visitors to the museum…

A: here given sample n=180 x=number of led by children x=86 p=point estimate p=xn

Q: During an outbreak, a test is administered for the (fictional) disease stelastr. The chance is 0.9…

A: Let P and N denote the positive and the negative results. Also, let S denotes the disease stelastr…

Q: The purchase patterns for two brands of toothpaste can be expressed as a Markov process with the…

A:

Q: An average of 4.8 customers come to PBI Savings and loan every half hour. Find the probability that…

A: GivenAn average of 4.8 customers come to savings and loan every half hourFor one minute =4.830=0.16…

Q: A machine that fills bottles with an un-named refreshing beverage is set up so that it dispenses…

A: Let X be the random variable from normal distribution with mean (μ) = 16.3 and standard deviation…

Q: Is the national crime rate really going down? Some sociologists say yes! They say that the reason…

A: Given that  Sample size n =38 Favorable cases x =22 Sample proportion p^=x/n  =22/38 =0.5789 NOTE:-…

Q: People with high blood pressure suffer from hypertension. Data on fasting blood sugar…

A:

Q: table at a fair is testing out a new game that works as follows: the player rolls two six-sided…

A: Given for first roll probability of 6 = 1/6 and on second die it is also  1/6

Q: There is a spinner with 12 equal areas,numbered 1 through 12.If the spinner is spun one time,what is…

A: Given There are sppiner with 12 equal areas

Q: Symmetry. The distinct pair i, j of states of a Markov chain is called symmetric if P(Tj < Ti | Xo =…

A:

Q: An urn contains n red balls and m blue balls. These n+m balls are randomly drawn one by one from the…

A: Given that an urn contains n red balls and m blue balls, n+m balls are randomly drawn one by one…

Q: please redo the e because the answer was incorrect.

A: e) The width of the 99% confidence interval is 1.

Q: Use the attached random digit table to estimate the probability of the event that at least 2 people…

A: Given information, There are group of 5 people in the experiment. Using the random number table, the…

Q: survey of 18 year old males, the mean weight was 160.5 pounds with a standard deviation of 46.4…

A: given data  normal distribution  μ = 160.5σ = 46.4

Q: The Weibull distribution is widely used in statistical problems relating to aging of solid…

A:

Q: 1. Briefly answer the following questions. (a) Suppose that a commonly-used sleeping pill makes 70%…

A: Given that   (a) Suppose that a commonly-used sleeping pill makes 70% people sleep 7 hours or more.…

Q: 4. (a) How many ternary strings are there of length 10? (b) How many ternary strings of length 10…

A:

Q: The following data set lists the high temperatures in Charlotte each day in October 2022. The data…

A: The given data is already arranged in ascending order58, 58, 60, 64, 66, 67, 67, 67, 68, 69, 69, 70,…

Q: Let X be a Markov chain containing an absorbing states with which all other states i communicate, in…

A:

Q: Suppose that 14% of all children in a given city are left-handed and 8% have red hair. Assuming that…

A: here suppose, A :  children in a given city are left-handed  A': children in a given city are…

Q: A survey of nonprofit organizations showed that online fundraising increased in the past year. Based…

A: a. Suppose μ is the population mean one-time gift donation.

Q: Prehistoric pottery vessels are usually found as sherds (broken pieces) and are carefully…

A: It is given that x be the body diameter in centimeters and y be the height in centimeters of…

Q: Let X be a RV that exponentially distributed with parameter A. In terms CDF of X, write an…

A: c. Let X be a RV that exponentially distributed with parameter λ. The density function for X is,…

Q: cords show that arrival requests to a certain server occurr at the rate of 3 per minute. In one…

A: Given, Records show that arrival requests to a certain server occur at the rate of 3 per minute. In…

Q: risk probability distribution expected rate of return r^

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: You spin the spinner once.

A: From the given spin, There are 3 outcomes: 3, 4, 5.

Q: peyton has 2 pizzas.eac pizza is cut into 10 equal slices.she and her friends eat 14 slices what…

A: there are 2 pizza each pizza cut into 10 equal slices.  eat 14 slices  parts of pizzas they eaten  =…

Q: Suppose a die has three eyes on five of its faces, and six eyes on its sixth face. The die is rolled…

A: three eyes on five of its faces and six eyes on sixth face.  roll die three times x = sum of 3 roll…

Q: The probability that event AA will occur is P(A)=P(A)=0.64. What is the probability (in decimal…

A: GivenThe probability that event A will occur=0.64i.e.,P(A)=0.64

Q: Problem #7: The joint probability mass function of (X, Y, W) is Problem #7(a): Problem #7(b): p(1,…

A: Given that P(1,2,3) = P(2,1,1)=0.4, P(2,2,1)=P(2,3,2)=0.1 A) E(XYW)= P(XYW)×P(X,Y,W)…

Q: How many different passwords are there that contain only digits and lower-case letters and satisfy…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: A frog starts at location A and wants to get to location B that is 500 meters away. Starting at A,…

A:

Q: kg and a standard deviation of 2.4 kg. What is the 95% confidence interval? Write the lower value of…

A: It is given that  Sample mean, X̄ = 30 Sample standard deviation, s = 2.4 Sample size, n = 50

Q: A family of four is having Muesli for breakfast. Each person has their own, distinguishable Muesli…

A: Given,Total no.of indistinguishable raisins=172no.of family members=4

Q: 4. Suppose that the following data were obtained from the records of a certain two year college: Of…

A: "Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: A factory manager must decide whether to stock a particular spare part. The part is absolutely…

A: Given information: Stocking the part costs $10 per day in storage and cost of capital.  The cost of…

Q: Example 9.6: What are the standard errors of the sample mean X and the sample proportion p?

A: The standard error is the standard deviation of the estimate.

Q: The heights of students are normally distributed with mean 161 inches and standard deviation of 4.56…

A: Answer: From the given data, Let X: heights of students X is normally distributed with Mean (μ) =…

Q: If a farmer has a cylindrical silo that is 18ft  wide an 60ft tall. What is the maximun number of…

A: Given: A farmer has a cylindrical silo that is 18 ft  wide and 60 ft tall. Width of cylinder, w=18…

Q: Data taken from a random sample of 60 students chosen from the student population of a large urban…

A:

Q: 4. Let X and Y have a bivariate normal distribution with respective parameters μ = 2.8,μ¸ = 110,o² =…

A: Given that, X and Y have a bivariate normal distribution. We have to find P(2&lt;X&lt;4/Y=

Q: Let X and Y be independent exponential random variables with parameter 1. Find the cumulative…

A: Given that X and Y are independent and follow exponential distribution with parameter 1. It means…

Q: 7.5 The county hospital is located at the center of a square whose sides are 3 miles wide. If an…

A: Given Information: A hospital is located at the center of a square. The sides of the square are 3…

Q: A particular manufacturer (the vendee) uses sample data sent by a vendor to investigate whether the…

A:

Q: A random process X(t) is stationary. If it is known that E[X(10)] = 10 and var(X(10)) = 1, then…

A: Given that, A random process X(t)  is stationary. E[X(10)] = 10 var(X(10)) = 1

Q: Find the median for the given data 16, 4, 7, 9 , 11, 27, 32, 44, 88

A: Answer: Given data is, 16, 4, 7, 9 , 11, 27, 32, 44, 88 Number of values = n = 9