Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2. Suppose that P(A) = 0.4. Explain why P(A and B) cannot be 0.5.
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4.104 Conditional
Suppose that P(A) = 0.5, P(B) = 0.3, and P(B |A) = 0.2.
Suppose that P(A) = 0.4.
Explain why P(A and B) cannot be 0.5.
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- By rewriting the formula for the multiplication rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B| A) = the probability that a flight departed on time given that it arrives on time. 0.89. The probability that an airplane flight departs on time The probability that a flight arrives on time is 0.89. The probability that a flight departs and arrives on time is 0.82. G The probability that a flight departed on time given that it arrives on time is. (Round to the nearest thousandth as needed.) P(A and B) P(A) Use the information below to findAssume that a researcher randomly Probabilities of Girls selects 14 newborn babies and counts x(girls) P(x) x(girls) P(x) x(girls) P(x) the number of girls selected, x. The probabilities corresponding to the 14 possible values of x are summarized in the given table. 0 0.000 5 0.122 10 0.061 1 0.001 6 0.183 11 0.022 2 0.006 7 0.209 12 0.006 Find the probability of selecting 9 or more girls. 3 0.022 8 0.183 13 0.001 4 0.061 9 0.122 14 0.000 O A. 0.061 О В. 0.122 О С. 0.212 O D. 0.001By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(BA) = that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.91. The probability that a flight arrives on time is 0.88. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.). GIFFET P(A and B) P(A) Use the information below to find the probability
- Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)?R5By rewriting the formula for the Multiplication Rule, you can write a formula for finding conditional probabilities. The conditional probability of event B occurring, given that event A has occurred, is P(B A) = P(A and B) Use the information below to find P(A) the probability that a flight arrives on time given that it departed on time. The probability that an airplane flight departs on time is 0.92. The probability that a flight arrives on time is 0.86. The probability that a flight departs and arrives on time is 0.83. The probability that a flight arrives on time given that it departed on time is (Round to the nearest thousandth as needed.) Inco
- A bag contains 4 Blue balls, 7 Red balls, and 8 Green balls. Two balls are going to be drawn from the bag (one at a time) and then put to the side (they are not returned to the bag). Let event B = blue ball chosen, R = Red ball chosen, and G- Green ball chosen. What is P(BR)? Write an answer to 4 decimal places.Please help how do I explain these probabilities using complete sentencesDon't know how to solve
- Q2Which of the following values cannot be probabilities? 1, 1.41, -0.53, √2, 0, 0.02, 5/3, 3/5 Select all the values that cannot be probabilities. A. 1.41 B. -0.53 C. 3 5 D. 1 E. 0 F. 53 3 G. √2 H. 0.02A manufacturer of plumbing fixtures has developed a new type of washerless faucet. Let p = P(a randomly selected faucet of this type will develop a leak within 2 years under normal use). The manufacturer has decided to proceed with production unless it can be determined that p is too large; the borderline acceptable value of p is specified as 0.10. The manufacturer decides to subject n of these faucets to accelerated testing (approximating 2 years of normal use). With X = the number among the n faucets that leak before the test concludes, production will commence unless the observed X is too large. It is decided that if p = 0.10, the probability of not proceeding should be at most 0.10, whereas if p = 0.30 the probability of proceeding should be at most 0.10. (Assume the rejection region takes the form reject H, if X 2 c for some c. Round your answers to three decimal places.) What are the error probabilities for n = 10? n USE SALT P-value = 0.07 B(0.3) =
