Suppose Z follows the standard normal distribution. calculator. Round your responses to at least three de (a) P(Z ≤ 0.56) = (b) P(Z > -1.03) = [ (c) P(0.31
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![Suppose Z follows the standard normal distribution.
calculator. Round your responses to at least three de
(a) P(Z ≤ 0.56) =
(b) P(Z > -1.03) = 0
(c) P (0.31 <Z< 1.86) = []
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- Suppose that the average life of a refrigerator before replacement is μ = 15 years with a (68%of data) range from 13 to 17 years. Let x = age at which a refrigerator is replaced. Assumethat x has a distribution that is approximately normal. Find a good approximation for thestandard deviation of x values. Group of answer choices 5 years 2 years 6 years 1 year 3 yearsAssume that z-scores are normally distributed with a mean of 0 and a standard deviation of 1.If P(−b<z<b)=0.1904, find b.2. Let X have a standard normal distribution. Find P(X ≧ -0.25)
- Given a normal distribution with Z-N(4,1) a. Find P (Z>4.52)? b. Find P (Z<3.48)? c. Find P(3.48[0 Find the probability that an item drawn at random from a normal distribution inc with Mean 5 and S.D. 3 will be between : (i) 2.57 and 4.34You are given the following data. X = [0.1, 0.21, 0.22, 0.34, 1.1, 1.3, 2.3, 3.22]. Assume you want to model this as a continuous distribution, and to this end want to build a histogram with 4 bins. What is the upperbound of the first bin?4. Use the t-distribution to find t. values such that following statements are true. a. = 0.95, where df= 16 b. = 0.90, where df= 16 с. = 0.99, where df= 12 d.For the proprablility distribution table below: P(x) 0.17 H= 0 I 1 2 0 1 ● 3 Find the mean. Round to two decimal places. 4 2 3 4 J= 0.06 x-P 0.18 0.25 0.34 Find the standard deviation. Round to three decimal places. (x-μ)² xP(x) (x-μ)²- P(x) 311If X has normal distribution with mean 80 and standard deviation 15. Find the P(X > 90) a. 0.7734 b. -0.75 Oc. 0.75 O d. 0.2514Answer part e onlyThe random variable x represents the number of boys in a family of three children. Assuming that boys and girls are equally likely, find the mean and standard deviation for the random variable x. X P(x) 0 0.125 1 0.375 2 0.375 3 0.125 O A. mean: 1.50; standard deviation: 0.87 OB. mean: 1.50; standard deviation: 0.76 O C. mean: 2.25; standard deviation: 0.87 O D. mean: 2.25; standard deviation: 0.76 CBeetles' weight has a normal distribution with mean of 85g and standard deviation of 6.4g. Suppose we repeatedly took random samples of 12 of these beetles. The percentage of samples that have a sample mean weight less than 83.2g is closest to: (You should use the empirical rules to estimate this percentage) A: 2.5% B: 85% C: 100% D: 15%SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
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