Calls reaching a telephone exchange over the past year average 20 per minute. What is the probability that between 19 and 22 calls are received during a randomly selected one-minute period? (a) State which probability distribution applies to the question above. (b) Define the variable of interest and the possible values of the variable. (c) Find the required probability.

Q: [6] Let z be a standard normal random variable. Compute the following probabilities. (a) P(-1.23 s z…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?…

Q: 8. A single die is rolled twice. Find the probability of getting a 2 the first time and a 3 the…

A: A single die is rolled twice. We need to find the probability of getting a 2 the first time and a 3…

Q: d) Compute E[X].

A:

Q: A card is drawn at random from a standard 52-card deck. Events G and H are G= the drawn card is…

A: Total card = 52 are G= the drawn card is black H= the drawn card is divisible by 4 (face cards are…

Q: Construct the indicated confidence interval for the population mean u using the t-distribution.…

A: Given,x¯=14.1s=0.93n=12c=0.99degrees of…

Q: Q2. (a) A bakery shops sells an average of 105 cakes per week (i) Find the probability that on a…

A: A discrete random variable X is said to follow Poisson distribution with parameter λ, if its…

Q: Match each set of odds with the probability that the team would win. Odds 2:3 V [ Choose ]…

A: We have given that the odds represent the chance given that a football team would win the state…

Q: lity that exactly 43 voted bability that exactly 43 of 181 eligible voters voted is to four decimal…

A: Given n=181 X=43

Q: Activity 2: Direction: Find the possible random variables; make a tree diagram and table. After…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: uppose that the heights of female adults in the United States are normally distributed with a mean…

A: Solution-: Given: μ=65.4inches,σ=2.8inches We obtained the following: (a) P(X is between 66 and 70…

Q: earning at least Rs 63 but less than Rs 75. V Draw a less than ogive from the following data and…

A:

Q: three games, the probability that Wendy wins at least two games is:

A: here jack and wendy and jack play game in which they both toss a die once

Q: find P (condition absent | getting test result –)

A: here use given table of data and bayes rule

Q: For the experiment described below, let x determine a random variable, and use your knowledge of…

A:

Q: 25. Free-throw percentage. A basketball player's free-throw percentage is 78%, meaning that for any…

A: Given, p=0.78 n=4 q= 1-p = 1-0.78 = 0.22 It is binomial distribution:

Q: ans. ses. The mean of X is

A:

Q: It is known that in a batch of milk cartons, 30% are underfilled. In a sample of six milk cartons…

A: Given that the batch of milk cartons underfilled is 30% and there are sample of six milk cartons.…

Q: 5. Forming a committee from members of a club does not show an important arrangement. How can you…

A:

Q: An average number of customers is 6 in 30 minutes. Find the probability that during 15 minutes it…

A: Given: An average number of customers is 6 in 30 minutes. => In 15 minutes, the average number of…

Q: P(5' U T)= [ Choose ] P(odd and T)= [ [ Choose ] P(even and H)= [ Choose ]

A:

Q: 4. If one card is randomly selected from a deck of cards, what is the probability of selecting a…

A: Here AS per note given I have calculated 4

Q: Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c = 0.90, o…

A:

Q: Assuming that a test subject is randomly selected from the sample data below, calculate the…

A: Given information:   Positive test result Negative test result Total Subject uses drugs 42 9 51…

Q: P(G)= [Choose] P(B)= [Choose ] P(BUY)= [Choose ]

A: Given that  Total marbles=5+3+4+2=14 Red marbles=R=5 Blue marbles=B=3 Green marbles=G=4 Yellow…

Q: David is selling raffle tickets from door to door to raise money for charity. To reach his daily…

A:

Q: b. In Covid-19 pandemic, one out of every 500 people of Dhaka city were affected during this month.…

A:

Q: How are income and degree related? The American National Election Survey asked respondents who…

A: Given: ID DEGREE INCOME EDUC 1 0 127500 13 3 1 32500 16 5 1 82500 16 6 0 6250 14 7 1…

Q: Donald obtains a coin which is alleged to be biased so that the probability p that it falls head is…

A: From the given information,   H0:p=0.3H1:p≠0.3(=0.5) sample size=n=100 x=number of heads obtained=37…

Q: The probability that a coin is balanced, is .80 and that it is unbalanced is .20. - If the coin is…

A:

Q: Illustrate the situations below using the Venn diagram and answer the questions that follow. 1. If a…

A: Euler Venn Diagram or commonly known as Venn Diagram, is a diagrammatic representation to represent…

Q: Use the data in the table to the right to answer the following questions. Weights (g) of a Sample…

A: No.of red candies (X) = 10  Total no.of candies (n) = 40 The proportion of red candy is,

Q: A designer has designed different tops, pants, and jackets to create outfits. How many different…

A: Given six tops, five pants, two jackets

Q: nd the minimum sample size n needed to estimate u for the given values of c, o, and E. c= 0.90, o =…

A: We have given that,  Population standard deviation (σ) = 9.2, margin of error (E) = 2 and confidence…

Q: Use the data in the table to the right to answer the following questions. Weights (g) of a Sample…

A: Given the data gives the weights of a sample bag of candy.  Using the data we have to find the…

Q: What is the expected value of the random variable? (Туре an integer or a decimal.)

A:

Q: Suppose that customers arrive at a bank's ATM at the rate of 10 customers per hour. If a customer…

A: A continuous random variable X is said to follow Exponential distribution with parameter λ if its…

Q: The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 31…

A:

Q: The probability of taking a step forward by a man is 1/2. Calculate the probability that he has…

A:

Q: Requires @RISK) Which of the following is true of the Poisson distribution with mean 8?   a. The…

A: Given that  Which of the following is true of the Poisson distribution with mean 8?     a. The…

Q: In how many ways 5 passengers can sit in a compartment having 16 vacant Example 39. seats?

A:

Q: 67. In shuffling a pack of playing cards four cards are accidentally dropped. hat is the probability…

A:

Q: A bakery shops sells an average of 105 cakes per week (i) Find the probability that on a given day…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Q-1: Let P, Q, R and S be the propositions: P: “Ahmad comes to the party", Q: “Salim comes to the…

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

Q: find the following probabilities. (Round your answers to four decimal places.)   (a) the response…

A:

Q: John runs a computer software store. He counted 120 people who walked by his store in a day, 53 of…

A: P (  person who walks into the store will buy something ) is = ?

Q: 5. Researchers are concerned about the prevalence of tuberculosis in a developing country rising…

A:

Q: ill in the missing value to make a valid probability distribution. 4 12 16 20 24 (x) 0.02 0.21 0.17…

A: Given that  Probability distribution  X 4 8 12 16 20 24 P(x) 0.02 0.21 0.17 0.46 0.05 a=?

Q: Find the minimum sample size n needed to estimate u for the given values of c, o, and E. c= 0.95, o=…

A: We need to find the minimum sample size n needed to estimate μ for the given values of c, σ and E.…

Q: Imagine the very relevant situation in developing countries where people can either decide to be…

A:

Q: 6.) Investment Club. The triple L investment club is considering purchasing a certain stock. After…

A: Given that  Chance of making $10,000 = 60% = 0.60 Chance of making break even = 10% = 0.10  Chance…