luiz: Ch 4 4 Quiz Time Remaining: 00:15:09 Submit Qu This Question: 1 pt 5 of 7
ID: 3174213 • Letter: L
Question
luiz: Ch 4 4 Quiz Time Remaining: 00:15:09 Submit Qu This Question: 1 pt 5 of 7 (5 complete) This Quiz: 7 pts possil According to a recent half of al pet owners would get their next dog or cat from a shelter considerarandom sample of 15 definexas the number of pet owners who would acquire their next dog or cat from a shelter. Assume a binomial pet owners and thatxis random variable. parts a through below O B. Asuccess is a pet owner who aoquired their dog or cat from a shelter c. A success is a pet owner who would acquire their next dog or cat from a shelter. O D. A success is a pet owner who would not acquire their next dog or cat from a shelter. b. For this binomial experiment, what is n? 15 c. For this binomial experiment, what is p? p. 05 (Round to one decimal place as needed.) d. Find P(x Pcx-9)-0.153 (Round to three decimal places as needed) e. Find PCx 270. Pcxzy. (Round to three decimal places as needed.) Find PCX 11). (Round to three decimal places as needed) click to select your answeris).Explanation / Answer
(e) P( X>= 7) = 1 - P (6) - P (5) - P(4) - P(3) - P(2) - P(1) - P(0)
= 1 - 15 C6 * ( 0.5)15 - 15 C5 * ( 0.5)15 - 15 C4 * ( 0.5)15 - 15 C3 * ( 0.5)15- 15 C2 * ( 0.5)15- 15 C1 * ( 0.5)15- 15 C0 * ( 0.5)15
= 1- ( 0.5)15 ( 15C6 + 15C5 + 15C4+ 15C3+ 15C2+ 15C1 + 15C0) = 1 - ( 0.5)15 * 9949 = 0.6963
(f) P ( X> 11) = P(12) + P( 13) + P(14) + P(15)
= 15 C12 * ( 0.5)15 + 15 C13 * ( 0.5)15 +15 C14 * ( 0.5)15 + 15 C15 * ( 0.5)15
= 0.01757
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