Please help me out Page 167 16. If P(A) = 0.7, P(B) = 0.1 and A and B are mutual
ID: 2948821 • Letter: P
Question
Please help me out
Page 167
16. If P(A) = 0.7, P(B) = 0.1 and A and B are mutually exclusive, find P (A or B).
18. If P(A) = 0.5, P(B) = 0.4, and P(A or B) = 0.8, are A and B mutually exclusive?
20. If P(B) = 0.6, find P(Bc).
26. Determine whether events A and B are mutually exclusive. A: Jayden has a math class on Tuesdays at 2:00. B: Jayden has an English class on Tuesdays at 2:00.
40. In a statistics class of 30 students, there were 13 men and 17 women. Two of the men and three of the women received an A in the course. A student is chosen at random from the class.
a. Find the probability that the student is a woman.
b. Find the probability that the student received an A.
c. Find the probability that the student is a woman or received an A.
d. Find the probability that the student did not receive an A.
Page 178
12. If A and B are independent events, then P(A and B) = P(A)P(B). True or False?
21. SKIP
Pages 209-210
36. Compute the mean and standard deviation of the random variable with the given discrete probability distribution:
X P(X)
-3 0.10
0 0.17
1 0.56
3 0.17
40. Fill in the missing value so that the following table represents a probability distribution:
X 15 25 35 45 55
P(x) 0.25 0.15 ? 0.05 0.15
44. Do you carpool? Let X represent the number of occupants in a randomly chosen car on a certain stretch of highway during morning commute hours. A survey of cars showed that the probability distribution of X is as follows:
X 1 2 3 4 5
P(X) .70 0.15 0.10 0.03 0.02
Find P(2).
Find P(More than 3).
Find the probability that a car has only one occupant.
Find the probability that a car has fewer than four occupants.
Compute the mean.
Compute the standard deviation.
To save energy, a goal is set to have the mean number of occupants be at least two per car. Has this goal been met?
Pages 244-245
38. Find the area under the standard normal curve that lies outside the interval between:
a. z = -1.11 and z = 3.21
b. z = -1.93 and z = .59
52. A normal population has a mean of 35 and a standard deviation of 8.
a. What proportion of the population is between 20 and 30?
b. What is the probability that a randomly chosen value will be between 30 and 40?
56. A normal population has a mean of 71 and a standard deviation of 33. What is the 91st percentile of the population?
Explanation / Answer
Ans:
16)If P(A) = 0.7, P(B) = 0.1 and A and B are mutually exclusive, find P (A or B).
P(A or B) =P(A)+P(B)-0 A and B are mitually exclusive
P(A or B) =0.7+0.1=0.8
18)we know that if A nd B are mutually exclusive then P(A*B)=0
mean P(A or B)=P(A)+P(B)
here 0.8=0.5+0.4 which is not same,So A and B are not mutually exclusive
20. If P(B) = 0.6, find P(Bc)
P(Bc)=1-P(B)=1-0.6=0.4
26) let A: Jayden has a math class on Tuesdays at 2:00. B: Jayden has an English class on Tuesdays at 2:00
P(A and B)=0 there is no commen for both event
Events A and B are mutually exclusive.