Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down. UU UD DU DD a. What is the probability of getting exactly one Down? b. What is the probability of getting two Downs? c. What is the probability of getting at least one Down (one or more Downs)? d. What is the probability of getting at most one Down (one or fewer Downs)?
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down. UU UD DU DD a. What is the probability of getting exactly one Down? b. What is the probability of getting two Downs? c. What is the probability of getting at least one Down (one or more Downs)? d. What is the probability of getting at most one Down (one or fewer Downs)?
Solution Summary: The author calculates the probability that thumbtack lands up and down. The probability of getting two downs is 0.16.
Thumbtacks When a certain type of thumbtack is tossed, the probability that it lands tip up is 60%, and the probability that it lands tip down is 40%. All possible outcomes when two thumbtacks are tossed are listed. U means the tip is Up, and D means the tip is Down.
UU UD DU DD
a. What is the probability of getting exactly one Down?
b. What is the probability of getting two Downs?
c. What is the probability of getting at least one Down (one or more Downs)?
d. What is the probability of getting at most one Down (one or fewer Downs)?
Question 2
The data below provides the battery life of thirty eight (38) motorcycle batteries.
100 83 83 105 110 81 114
99 101 105 78 115 74 96
106
89
94 81 106 91 93 86
79 103 94 108 113 100
117 120
77 93
93 85 76
89 78 88
680
a. Test the hypothesis that mean battery life is greater than 90. Use the 1% level of
significance.
b. Determine if the mean battery life is different from 80. Use the 10% level of
significance. Show all steps for the hypothesis test
c. Would your conlcusion in part (b) change at the 5% level of significance? |
d. Confirm test results in part (b) using JASP. Note: All JASP input files and output
tables should be provided
Suppose that 80% of athletes at a certain college graduate. You randomly select eight athletes. What’s the chance that at most 7 of them graduate?
Suppose that you flip a fair coin four times. What’s the chance of getting at least one head?
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
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