Find the probability of rolling a standard 6-sided die 23 times and getting 10 or more twos. Select an answer Enter a decimal rounded to four places as needed.
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- Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the shape of the distribution of the set of averages? a) Uniform b) Non-normal c) No requirements, any shape d) Bell ShapedA part at Belleh Fontem Manufacturing requiresholes of size .5 ± 0.0 I inches. The drill bit has a s tated size of.5 ± 0.005 inches and wears at the rate of .00017 inches perhole drilled. Give the most and least number of holes that can bedrilled with one drill bit before it has to be replaced.Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the distribution of the averages? a) x-bar ~ N(0, 9) b) x-bar ~ N(12.59, 1) c) x-bar ~ N(0, 81) d) x-bar ~ N(0, 1)
- Maximize z=4x+5y Subject to: x+y<or=4 x-y>or=-2 x<or=3 x>or=0, y>or=09.19 In bottle production, bubbles that appear in the glass are considered defects. Any botle that has more than two bubbles is elassified as "nonconforming" and is sent to recycling Suppose that a particular production line produces bottles with bubbles at a rate of 1. bubbles per bottle. Bubbles occur independently of one another. a What is the probability that a randomly chosen bottle is nonconfornming? b Bottles are packed in cases of 12. An inspector chooses one bottle from each case and examines it for defects. If it is nonconforming, she inspects the entire case, re placing nonconforming bottles with good ones. This process is called rectification If the chosen bottle conforms (has two or fewer bubbles), then she passes the cuse. In total, 20 cases are produced. What is the probability that at least 18 of them pass! c What is the expected number of nonconforming bottles in the 20 cases after they have been inspected and rectified using the scheme described in part b?a factory that produces a small number of items per day. In about 30% of working days the factory produces 7 units of the product, in 45% of working days it produces 8 units, and the rest of working days it produces 9 units. After production is completed, each unit is thoroughly inspected. Each unit fails inspection with probability ??. If two or more units fail inspection on the same day, the factory closes for a week to re-calibrate equipment. Say the factory opens today after being closed for a week, write a mathematical expression to calculate the probability that the factory will remain open at least 30 days before closing again.
- Suppose a computer chip manufacturer know that in a average production run of 2000 circuit boards, 140 will be defective. How many defective circuit boards are expected in a run of 29000 circuit board?USE: A=20X210 B=10X210 C=12X210Suppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . Say we roll the die 81 times, record the average, and repeat this process a total of 100 times. According to the Central Limit Theorem and the 68-95-99.7 rule, what is the probability of obtaining an average of -1 or less based on the facts above? Assume that n is adequately large. Select the choice that is closest to the answer. A. 97.5% B. 68% C. 16% D. 84%
- A scatter diagram is useful to determine if a relationship exists between two variables.TrueORFalseSamples of size 20 are drawn from lots of 100 items, and the lots are rejected if thenumber of defectives in the sample exceeds 2. If the true proportion of defectives inthe lot is 5 percent, determine the probability that a lot is accepted usingc. The Poisson approximation to the binomialSuppose that you have a four-sided die that is equally weighted (i.e. equal chance of any of the four sides landing face up). The four values on the die are [12.5968, 2, -2 and -12.5968] . If we roll the die 81 times, record the average, and repeat this process a total of 100 times, what does the central limit theorem predict will be the mean of the set of averages? a) 0 b) 12.59 c) 1.23 d) 5.72