5 a If a player throws 6 dice, what is the probability of getting at least two sixes? Let the random variable X record the number of sixes. What is the expected value and standard deviation for X? b Repeat the question for: i 12 dice, ii 24 dice.
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A: a) Find the probability of getting exactly 6 girls in 8 births. The probability of getting exactly 6…
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- You roll five fair six-sided dice. Let X denote the sum of the numbers shown. Compute the expectation and the variance of X.SeeClear Windows makes windows for use in homes and commercial buildings. The standards for glass thickness call for the glass to average 0.375 inches with a standard deviation equal to 0.050 inch. Suppose a random sample of n = 50 windows yields a sample mean of 0.392 inches. What is the probability if the windows meet the standards? Group of answer choices A. 0.0082 B. 0.0015 C. 0.0612 D. 0.0009When practicing basketball, Rachel has a 67% chance of making a free throw. She shoots 12 free throws. Let the random variable X be the number of free throws she makes. Find the probability she makes exactly 5 free throws. Give your answer to at least three nonzero decimal places. What is the expected value of X. Interpret this value.
- 4.43 Consider the probability distribution for the random vari- able x shown here: 2 .4 10 .2 1 4 P(x) 2The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts (a) through (d) below. E Click the icon to view the table. a. Find the probability of getting exactly 6 girls in 8 births. (Type an integer or a decimal. Do not round.) b. Find the probability of getting 6 or more girls in 8 births. (Type an integer or a decimal. Do not round.) c. Which probability is relevant for determining whether 6 is a significantly high number of girls in 8 births: the result from part (a) or part (b)? O A. The result from part b, since it is the probability of the given or more extreme result. O B. The result from part a, since it less than the probability of the given or more extreme result. O C. The result from part b, since it is the complement of the result of part a. O D. The result from part a, since it is the exact probability being asked. d. Is 6 a significantly high…Classify the random variable X as discrete or continuous. Explain your reasoning. X represents the number of Blu-ray TM discs you own. A. Discrete; the number of discs is countable. B. Continuous; the number of discs could be any number greater than or equal to 0. C. Continuous; the number of discs is countable. D. Discrete; the number of discs could be any number greater than or equal to 0.
- What is the significance of the mean of a probability distribution? Choose the correct answer below. O A. It represents the most likely possible outcome. B. It is the expected value of a discrete random variable. OC. It can never be negative. OD. It gives information about how the outcomes vary.In the binomial distribution the important point is that the two a. Events and expected b. Events are complementary C. All Above d. outcomes are complementaryEvery business day, Michael's alarm goes off at 06:30. The probability he hits the snooze button is 20%. a. Give the discrete probability distribution for the event that Michael's alarm does or does not go off on a business day. What type of random variable is this? Explain. b. In 8 business days, what is the probability Michael hits the snooze button at least one time? c. In 80 business days, how many times would we expect Michael to hit the snooze button? What is the associated variance?
- 5. (Solve using pen and paper) Cans of salmon are supposed to have a net weight of 6 oz. The canner says that the net weight is a random variable with mean m=6.05 oz. and stand. dev. s=.18 oz. Suppose you take a random sample of 36 cans and calculate the sample mean weight to be 5.97 oz. a. Find the probability that the mean weight of the sample is less than or equal to 5.97 oz.Warren tosses 5 coins. Let A be the random variables representing the number of tails. Construct the probability distribution and draw the histogram.Howard is 30% likely to be subjected to the Tax Bureau's audits due to his previous crinimal record. What is the probability that he will not be subjected to the random audit for at least 3 years?a. describe random variable x.b. what distribution does x follow? explainc. what is the probability that he will not be subjected to the random audit for at least 3 years?