Question

In: Statistics and Probability

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))

Solutions

Expert Solution

orchestra answered 3 years ago
Next > < Previous

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 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).
Suppose that you are testing the hypotheses H0​: p=0.18 vs. HA​: p=/ 0.18. A sample of...
Suppose that you are testing the hypotheses H0​: p=0.18 vs. HA​: p=/ 0.18. A sample of size 150 results in a sample proportion of 0.25. ​a) Construct a 99​% confidence interval for p. ​ b) Based on the confidence​ interval, can you reject H0 at a =0.01​? Explain. ​c) What is the difference between the standard error and standard deviation of the sample​ proportion? ​d) Which is used in computing the confidence​ interval?
We have:                     P(A) = 0.75                     P(
We have:                     P(A) = 0.75                     P(B|A) = 0.9                     P(B|A′) = 0.8                     P(C|A ∩ B) = 0.8                     P(C|A ∩ B′) = 0.6                     P(C|A′ ∩ B) = 0.7                     P(C|A′ ∩ B′) = 0.3      Compute:               a) ?(?′| ?′)               b) P (?′ ∪ ?′)               c) ?(? ∩ ? ∩ ?)               d) P(C)               e) ?(? ∩ ? ∩ ?)’               f) P(B)               g) P(AUBUC)
Find the following probabilities for the standard normal random variable z: (a) P(−0.76<z<0.75)= (b) P(−0.98<z<1.36)= (c)...
Find the following probabilities for the standard normal random variable z: (a) P(−0.76<z<0.75)= (b) P(−0.98<z<1.36)= (c) P(z<1.94)= (d) P(z>−1.2)= 2. Suppose the scores of students on an exam are Normally distributed with a mean of 480 and a standard deviation of 59. Then approximately 99.7% of the exam scores lie between the numbers ---- and -----. ?? Hint: You do not need to use table E for this problem.
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
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 400 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 = 0.66 p-value Conclusion: p-value Select greater than or equal to 0.05, reject, greater than 0.05, do not reject, less than or equal to 0.05, reject, less than 0.05, reject, equal to 0.05,...
Ho:p=0.67 H1: p does not equal 0.67 n=598 with 419 successes what is test stat for...
Ho:p=0.67 H1: p does not equal 0.67 n=598 with 419 successes what is test stat for this sample? what is thep-value? with significant level of 0.01
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...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT