Question

7. r in During a major disaster, for example, a humicane, wrthquake is very important to have tems on hand in a recent survey, only 40% of Americans had a three-day supply of b Suppose a sample of 20 Americans is selected at random. Let X be the number of day supply of bored water on hand com e g whethe household ency r Does the random variable have a binomial distribution not why not? What artthew of n and p. What is the probability that exactly 12 Americans have a three-day Supply of bod o What is the probability that at least 12 Americans have a three-s ofbe What is the probability that more than 12 Americans have a three-day supply of bed h and r on . t. hand What is the probability that almost 12 American have a three-day supply of how n hand What is the probability that less than 12 Americans have a three-day Supply of botte n hand What is the probability that between 12 and 14 American s have a day wply of bored water on What are the mean and variance of 8 When circuit boards used in the manufacture of compact disc players are tested the long run percentage of dictives is 5 Let Xe the number of defective boards in random sample of 25. X-Bioma 25.05 a. Find the probability that the number of defective boards is Almost 2 ) Al least 5 ) Between 1 and 4, inclusive b. What is the probability that none of the 25 boards is detective? G. Calculate the expected value and standard deviation of X Assume that head sizes circumference of new recruits in the Canadian armed forces can be approximated by a normal distribution with a mean of 22 8 inches and a standard deviation of 1.1 inches a. What proportion of recruits have head sizes between 22 and 23 inches? b. 5% of the head sizes exceed --- inches? e and w ond At G 001 10. Students in a statistics class were asked to report the number of hours they slept on is there sufficient evidence that there is a difference in the mean number of hours sept? Student The Sun Thurs Hours Fri Sat in ounces of a sample of running shoes for men and women are shown a Test the claim that the population means are different at 0.05 b. Construct 95% confidence interval for the difference between two population means Men: 10.4. 126. 11.1. 14.7. 10.8. 129. 11.7, 133, 12.8. 145 Women: 10.6. 10.2.8.8 96.5 5.10.1, 112,93,94 102.95.98 103. 11 Sve est 12 To investigate which of the color white green r emove d board of the colorina Color Sald only the b Bets Trapped on hub ofera 21 12 14 17 13 abstract 37 32 15 29 29 16 11 20 21 45 for the U S . Be conduct at of hypothesis to die w wure to state the und e r on the means the best stand- 13. Consider the data women'in predict the weight of a woman her height is 51 by using linear regression model

Answer 1

7)

a)
X = number of americans out of 20 who have a three-daya supply

yes
X follow binomial distribution with n = 20 nad p = 0.4

b)
P(X = 12) = =BINOM.DIST(12,20,0.4,0) = 0.035497

c)
P(X >= 12) = =1-BINOM.DIST(11,20,0.4,1) = 0.0565

d)
P(X > 12) = P(X>=12)- P(X = 12) = 0.021028

e)
P(X <= 12) ==binom.dist(12,20,0.4,1) = 0.97897

f)
P(X < 12) = BINOM.DIST(11,20,0.4,1) = 0.9434736

g)
P(12 <= X <= 14) ==binom.dist.range(20,0.4,12,14) = 0.054915

h)
mean = n*p = 20*0.4 = 8
variance = sqrt(npq)=sqrt(20* 0.4 * 0.6) = 2.19089

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