(c) Find the value of P(4 successes), where p 0.30. (Round your answer to three
ID: 2930166 • Letter: #
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(c) Find the value of P(4 successes), where p 0.30. (Round your answer to three decimal places.) P(4 successes) For what value of r is P(r successes) the same using p = 0.70? (d) what column is symmetrical with the one headed by p = 0.20? the column headed by = 0.85 the column headed by p = 0.80 the column headed by p 0.50 0 the column headed by p = 0.70 the column headed by p 0.40 Need Help? Read It 15. 0/1 points | Previous Answers 88underStat11 5.2.029. My NotesAsk Your Teacher Ir In the western United States, there are many dry land wheat farms that depend on winter snow and spring rain to produce good crops. About 40% of the years there is enough moisture to produce a good wheat crop, depending on the region. (a Let r be a random variable that represents the number of good wheat crops in n = 8 years. Suppose the Zimmer farm has reason to believe that at least 4 out of 8 years will be good. However, they need at least 6 good years out of 8 years to survive financially. Compute the probability that the Zimmers will get at least 6 good years out of 8, given what they believe is true; that is, compute P(6 s r l 4 S (Round your answer to three decimal places.) 0.698 (b) Let r be a random variable that represents the number of good wheat crops in n 10 years. Suppose the Montoya farm has reason to believe that at least 6 out of 10 years will be good. However, they need at least 8 good years out of 10 years to survive financially. Compute the probability that the Montoyas will get at least 8 good years out of 10, given what they believe is true; that is, compute P(8srl6š ). (Round your answer to three decimal places.) 0.641 Need Help? Read ItExplanation / Answer
Given that Q15 is complete, I will solve this problem:
p(enough moisture) = .40
a. P( 6<=r|4<=r) = ?
= P(X=6,7,8 | X=4,5,6,7,8)
= 8C6*(.4^6)(.4^2)+..+8C8*(.4^8)(.4^0)/8C4*(.4^4)(.4^4)+..+8C8*(.4^8)(.4^0)
= 0.0498/0.4059
= .123
b. P( 6<=r|4<=r) = ?
= P(X=6,7,8,9,10 | X=4,5,6,7,8,9,10)
= 10C6*(.4^6)(.4^4)+..+10C8*(.4^8)(.4^2)/10C4*(.4^6)(.4^4)+..+10C8*(.4^8)(.4^2)
= 0.1662/0.61771
= .269
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