(a) What is the best point estimate of the probability p of the drug being effective? 0.2 (b) Suppose we know that 10% of all hypertensive patients who are given a placebo will have their DBP lowered by 10 mm Hg after 1 month. Can we carry out some procedure to be sure we are not simply observing the placebo effect? Compute a 95% confidence interval for p to be sure we are not simply observing the placebo effect. (Enter your answer using interval notation. Round your numerical values to two decimal places.) (0.11, 0.27) X (c) What assumptions have you made to carry out the procedure in (b)? The assumption made is that the random variable follows a Poisson distribution. o The assumption made is that the normal approximation to the binomial distribution is reasonable here. The assumption made is that the normal approximation to the Poisson distribution is reasonable here. The assumption made is that the population is normal or that the central limit theorem can be used. The assumption made is that the underlying distribution of the differences is normal. Suppose we decide a better measure of the effectiveness of the drug is the mean decrease in blood pressure rather than the measure of effectiveness used previously. Let d, = x - y = 1,, 100, where x, = DBP for the ith person before taking the drug and y, = DBP for the ith person 1 month after taking the drug. Suppose the sample mean of the d, is +5.2 and the sample variance is 169.0. (d) What is the standard error of a? 1.1 (e) What is a 95% CI for the population mean of d? (Enter your answer using interval notation. Round your numerical values to two decimal places.) (3.02, 7.38) x

Q: Given P(E or F) = 0.72, P(E) = 0.22, and P(E and F) = 0.04, what is P(F)?

A: Here we need to find P(F).

Q: If P(A) = 0.36, P(B) = 0.150., and A and B are independent, find P(A | B). 0.36 0.417 0.21 0.51

A: According to the given information in this question We need to identify the correct option

Q: Given P(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

Q: Given m = 6, n = 1, and v = (-4, 7), what is v(n-m)?

A:

Q: If n(A) = 45, n(B) = 23, and n(A n B) = 8, find n(A U B).

A:

Q: XA - ХА + yl th

A:

Q: Let P (A) = 0.4 and P (A ∪ B) = 0.6. For what value of P (B) are A and B independent?

A:

Q: Given P(A) = 0.20, P(B) = 0.25, and P(B|A) = 0.25, are A and B independent or dependent?

A: PA=0.20, PB=0.25 and PB|A=0.25

Q: Find, if possible, (a) AB and (b) BA.

A: (a) Consider the given matrices A and B. As the number of the rows is equal to the number of columns…

Q: Answer parts a and b. a. n(A U B) = 24, n(An B) = 12, and n(B) = 17, find n(A). b. If n(A) = 8, n(B)…

A:

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

Q: If n(A) = 45, n(B) = 22, and n(A N B) = 9, find n(A U B).

A: By using inclusion and exclusion formula, we calculate the required value.

Q: If n(A) = 61, n(8) = 21, and n(AN B) = 2, find n(A U B). %3D

A: Sets Question

Q: If n(A) = 41, n(B) = 22, and n(A n B) = 6, find n(A U B).

A:

Q: The table shows the movement of a stock for 30 randomly selected trading days. "Up" means the stock…

A:

Q: if P(A) = 0.65, P(B) = 0.8, P(AN B) = 0.55 Then, P(B | A) is Select one: a. 55 80 b. 55 65 C. 65 80…

A:

Q: What is the value of (0.1)3 (20)3 ?

A: We have to find the value of: (0.1)3 (20)3

Q: Determine the value of the following: a. F15 + F10 b. (F7+F8+...+F16)/11= Fn , what is n? c. F35

A:

Q: Given P(E or F) = 0.04, P(E) = 0.43, and P(F) = 0.18, what is P(E and F)

A: Given,P(E or F)=0.04P(E)=0.43P(F)=0.18

Q: Given P(A) = 0.22, P(B) = 0.24, and P(B|A) = 0.21, are A and B independent or dependent?

A: We know,  P(B/A) = P(A∩B)/P(A)     P(A∩B) = P(A) P(B) Events A and B are independent if the equation…

Q: If n(A) = 41, n(B) = 18, and n(A n B) = 6, find n(A U B).

A:

Q: iven P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A:

Q: If n(A)=40, n(B)=24, and n(A n B)=6, find n(A u B).

A: We use Venn diagram to solve the given question.

Q: Find the following expressions if a = (6r, 0, r), b = (6s, –s, 7s), and c = (2t, 10t, 5). a ·b = 1.…

A: We need to find dot product.

Q: Given P(A) = 0.21, P(B) = 0.24, and P(B|A) = 0.24, are A and B independent or dependent?

A:

Q: If n(A) = 44, n(B) = 15, and n(A n B) = 4, find n(A u B). %3D

A: Using the union formula we get:n(A∪B)=n(A)+n(B)-n(A∩B)=44+15-4=55

Q: If n(A) = 41, n(B) = 21, and n(A N B) = 7, find n(A U B).

A: We have to find the value