In basketball, the top free throw shooters usually have a probability of about 0.85 of making anygiven free throw. Over the course of a season, one such player shoots 500 free throws.a. Find the mean and standard deviation of the probability distribution of the number of freethrows he makes.b. By the normal distribution approximation, within what range would the number of free throwsmade almost certainly fall? Why?c. Within what range would the proportion made be expected to fall?a. Find the mean and standard deviation of the probability distribution of the number of freethrows he makes.H = 425 (Type an integer or a decimal.)6= (Round to three decimal places as needed.)example Get more help.tvClear allCheck answerA5101OCG

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A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Given the probability distributions shown to the right, complete the following parts. a. Compute the expected value for each distribution. b. Compute the standard deviation for each distribution. c. What is the probability that x will be at least 3 in Distribution A and Distribution B? d. Compare the results of distributions A and B.
1. The test scores of an Engineering Mechanics class with 800 students are distributed normally with a mean of 75 and a standard deviation of 7. a. What percentage of the class has a test score between 68 and 82? b. Approximately how many students have a test score between 61 and 89? c. What is the probability that a student chosen at a random has a test score between 54 and 75? d. Approximately how many students have a test score greater than or equal 96
D. The mean annual cost to attend a attend a college is $44,324. Assume the distribution of annual costs follows the normal probability distribution and the standard deviation is $4,590. Ninety percent of all students pay less than what amount?
Suppose that the distance of fly balls hit to the outfielder ( in baseball) is normally distributed with a mean of 250 feet and a standard deviation of 50 feet. We randomly sample 49 fly balls.a. In words define the random variable. X________.b. What is the probability that the 49 balls traveled an average at least of 240 feet. Include a complete shaded graph, and write the probability statement. c. Find the 90th percentile of the distribution of the average of 49 fly balls.
K In basketball, the top free throw shooters usually have a probability of about 0.90 of making any given free throw. Over the course of a season, one such player shoots 460 free throws. a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. b. By the normal distribution approximation, within what range would the number of free throws made almost certainly fall? Why? c. Within what range would the proportion made be expected to fall? a. Find the mean and standard deviation of the probability distribution of the number of free throws he makes. μ= 414 (Type an integer or a decimal.) G= (Round to three decimal places as needed.) n example Get more help. tv H MacBook Air F6 & AA F7 U DII FB K Clear all A Check answer L P ជថា chance of winning it, and the outcomes of the three probabilities. U lable on an online hing it, and the outcomes of F12
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 420 grams and a standard deviation of 24 grams. Find the weight that corresponds to each event. a. highest 20 percent b. middle 60 percent c. highest 80 percent d. lowest 15 percent
A person's blood pressure is monitored by taking 44 readings daily. The probability distribution of his reading had a mean of 129 and a standard deviation of 33 a. Each observation behaves as a random sample. Find the mean and the standard deviation of the sampling distribution of the sample mean for the four observations each day. b. Suppose that the probability distribution of his blood pressure reading is normal. What is the shape of the sampling distribution? c. Refer to (b). Find the probability that the sample mean exceeds 140.
3. Draw the probability distribution of the function, find the mean, variance, and standard deviation of the profit in the instance below: A store has a monthly sale of P23,540, which deviates by P3,876. Now, the profit is calculated as 28% of the sales subtracted by the operating cost of P,5324.
The salaries ofelementary school teachers are normally distributed with a mean of $32,000 and a standard deviation of $3000. If a teacher is selected at random, Find the probability that he or she makes between $ 36,000 and $38.000 Select one: a. 0.069 O b. 0.9082 c. 0.927 O d. 0.082
According to Reader's Digest, 44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)= (to 2 decimals) (to 4 decimals) b. What is the probability that the sample proportion will be within ±0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, ,
Solve the problem.Assume that male Siberian huskies' weights are normally distributed with a mean of 63.6 pounds and a standard deviation of 2.5 pounds. If 90 male Siberian huskies are randomly selected, find the probability that they have a mean weight between 62.9 pounds and 64.0 pounds.
A survey found that 40% of adults in the United States have a pet in their home. Use this information to find the following: a. Find the probability that when we randomly select 13 adults exactly 7 of them have a pet in their home. Round your answer to two decimal places. b. Find the mean and standard deviation for the number of adults that have a pet in their home when we randomly select 13 adults. Round your answer to two decimal places.

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