Use the discrete probability distribution below to answer questions 9, 10, and 11.
able[[x,P(x)
x 0 1 2 3 4 5 6 7 8
P(x) 0.031 0.058 0.143 0.319 0.186 0.102 0.084 0.051 0.026
tr
9. Find the mean and standard deviation for the random variable whose probability distribution is given. Also find the cut-off values for significantly high and low -values.
10. Find the probability that x is less than 4.
11.Find the probability that x is at least 7.
12. A letter is randomly chosen from the word MICROWAVE and whether or not the letter is a vowel is recorded. The letter is replaced and this procedure is repeated 8 times. What is the probability that 6 of the chosen letters are vowels?
13. A letter is randomly chosen from the word MICROWAVE and whether or not the letter is a vowel is recorded. The letter is replaced and this procedure is repeated 8 times. What is the probability that fewer than 3 of the chosen letters are vowels?
14. Surveys indicate that in 75% of Canadian couples, both partners work. If nine Canadian couples are selected at random what is the probability that the number of working couples is exactly 3.
15. Surveys indicate that in 75% of Canadian couples, both partners work. If nine Canadian couples are selected at random, what is the probability that the number of working couples is at least 7.
16. Surveys indicate that in 75% of Canadian couples,both partners work. If nine Canadian couples are selected at random, find the mean and standard deviation of the binomial distribution.
17.For n = 5 and p =0.624, find the complete binomial distribution and write it in a table, including the values of x.
18. A procedure yields a binomial distribution with a trial repeated 60 times. Given that the probability of success for a single trial is 0.29, would 23 successes in the 60 trials be a significantly high number of successes?
19. A binomial distribution is represented by guessing the answers to a quiz with 3 multiple-choice questions. Each question has 4 possible answers, one of which is correct. a.What is the value of n? b. If success is defined as guessing correctly, define the value of p c.Define xwords,not a number. d.What are the possible values of x. e.Find the complete binomial probability distribution, including the values of x and P(x)
