Statistics and Probability Answers

Natalie has 8 socks in a drawer. 5 of the socks are black. 3 of the socks are white. Natalie takes out a sock at random, writes down its color, and puts it back into the drawer. Then Natalie takes out a second sock, at random, and writes down its color. A)What is the probability that both socks are black? B)What is the probability that the first sock is black and the second sock is white? C)What is the probability that both socks are white) D What is the probability that the first sock is white and the second sock is black? E)What is the probability that the socks are the same color?

Based upon past experience, 2% of the telephone bills mailed to suburban households are incorrect. If a sample
of 20 bills is selected, find the probability that at least one bill will be incorrect. Do this problem using two
probability distributions (the binomial and Poisson) and briefly compare and explain your results.

in a class 65% students are boys and 35% students are girls the probability that a boy comes late for a lecture is 0.4 and the probability that a girls comes late for a lecture is 0.2. given that a student has come late what is the probability that the student is girl?

A student suspected the average cost of a Saturday night date was no longer $30.00.TO test her hypothesis she randomly selected 16 men from dormitory and asked how much they spent on a date last Saturday. She found that the average cost was $31.17. The standard deviation of sample was $5.51. At α=0.05, is there enough evidence to support her claim?

If μ = 9 ounces, σ = 0.5 ounces, and n = 9, calculate the 3-sigma control limits for the x-bar chart.

A manager wishes to build a 3-sigma range chart for a process. The sample size is five, the mean of sample means is 28.5, and the average range is 3.9. From Table S6.1, the appropriate value of D3 is 0, and D4 is 2.115. What are the UCL and LCL, respectively, for this range chart?

(Exa) 1. Find what is the probability of value of X being equals <=110 for the normal distribution defined by the average of 92 and standard deviation of 14. Score?

2. What would be the probability of X being >110 mean is 92 and the standard deviation is 14 (Remember total probability is 1!) Score?

he annual per capita consumption of bottled water was 31.9 gallons. Assume that the per capita consumption of bottled water is approximately normally distributed with a mean of 31.9 and a standard deviation of 10 gallons.
a. What is the probability that someone consumed more than 37 gallons of bottled​ water?
b. What is the probability that someone consumed between 20 and 30 gallons of bottled​ water?
c. What is the probability that someone consumed less than 20 gallons of bottled​ water?
d. 99​% of people consumed less than how many gallons of bottled​ water?

Create a simple data set to compare 3 means. At Alpha, =0.05, is there a significant difference in the 3 means? use the ANOVA single factor test in excel.

When there is no significant difference among three or more means, the value of F will be close to what number?