P(A) = 0.78, P(B) = 0.75, P(C) = 0.18, P(A∩B) = 0.67, P(A∩C) = 0.15, P(B∩C)...

P(A) = 0.78, P(B) = 0.75, P(C) = 0.18,

P(A∩B) = 0.67, P(A∩C) = 0.15, P(B∩C) = 0.12, P(A∩B∩C) = 0.11.

Find:

1. Find P(A∪B∪C)

2. Find P((A∩B)∪C)

3. Find P(A∩(B∪C))

Expert Solution

orchestra answered 1 year ago

If P(B)= 0.15, P(A|B)=0.40, P(B')=0.85, and P(A|B')=0.70, find P(B|A)

If X follows a binomial(5, 0.15), determine (a) P(X = 0). (b) P(X ≤ 4). (c)...

If X follows a binomial(5, 0.15), determine (a) P(X = 0). (b) P(X ≤ 4). (c) P(X > 1).

We have: P(A) = 0.75 P(

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use α = .05. Round your answers to four decimal places. a. p = 0.67 p-value _____? b. p = 0.75 p-value _____? c. p = 0.7 p-value _____? d. p = 0.77 p-value _____?

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of 300 items was selected. Compute the p-value and state your conclusion for each of the following sample results. Use = .05. Round your answers to four decimal places. b. = 0.74 p-value is c. = 0.78 p-value is

67. Suppose that P(B) = 0.4, P(A|B) = 0.1 and P(A|B^c) = 0.9 (a) Calculate P(A)...

67. Suppose that P(B) = 0.4, P(A|B) = 0.1 and P(A|B^c) = 0.9 (a) Calculate P(A) (b) Calculate P(A|B) 71. Suppose a couple decides to have three children. Assume that the sex of each child is independent, and the probability of a girl is 0.48, the approximate figure in the US. (a) How many basic outcomes are there for this experiment? Are they equally likely? (b) What is the probability that the couple has at least one girl? 104. A...

Let P(A) = 0.40, P(B) = 0.20, P(C) = 0.50, P(D) = 0.30, P(A ∩ B)...

Let P(A) = 0.40, P(B) = 0.20, P(C) = 0.50, P(D) = 0.30, P(A ∩ B) = 0.15, P(A | C) = 0.60, P(B | C) = 0.20, P(B ∩ D) = 0.10, and C and D are mutually exclusive. Find ... a. P(C ∩ D) b. P(C U D) c. P(B ∩ C) d. Which one of the following pairs is a pair of statistically independent events? (A and C) (B and D) (B and C) (C and D)

If P(A)=0.8, P(B)=0.5, and P(C)=0.4, find P(A ∩ (Bc ∪ Cc )) if A, B, and...

If P(A)=0.8, P(B)=0.5, and P(C)=0.4, find P(A ∩ (Bc ∪ Cc )) if A, B, and C are independent.

n = 5 p or π = 0.15 P(X<2) =

a)Using a 0.15 M Acetate buffer with a pH of 4.9, you add 0.75 mL of...

a)Using a 0.15 M Acetate buffer with a pH of 4.9, you add 0.75 mL of 0.08 M HCl to 73 mL of the buffer. What is the new pH of the solution? (Enter your answer to three significant figures.) b) Using a 0.15 M Acetate buffer with a pH of 4.9, you add 0.75 mL of 0.08 M NaOH to 73 mL of the buffer. What is the new pH of the solution? (Enter your answer to three significant...

Question

P(A) = 0.78, P(B) = 0.75, P(C) = 0.18, P(A∩B) = 0.67, P(A∩C) = 0.15, P(B∩C)...

Solutions

Expert Solution

Related Solutions

If P(B)= 0.15, P(A|B)=0.40, P(B')=0.85, and P(A|B')=0.70, find P(B|A)

If X follows a binomial(5, 0.15), determine (a) P(X = 0). (b) P(X ≤ 4). (c)...

We have: P(A) = 0.75 P(

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...

Consider the following hypothesis test: H0: p ≥ 0.75 Ha: p < 0.75 A sample of...

67. Suppose that P(B) = 0.4, P(A|B) = 0.1 and P(A|B^c) = 0.9 (a) Calculate P(A)...

Let P(A) = 0.40, P(B) = 0.20, P(C) = 0.50, P(D) = 0.30, P(A ∩ B)...

If P(A)=0.8, P(B)=0.5, and P(C)=0.4, find P(A ∩ (Bc ∪ Cc )) if A, B, and...

n = 5 p or π = 0.15 P(X<2) =

a)Using a 0.15 M Acetate buffer with a pH of 4.9, you add 0.75 mL of...