Statistics and Probability Answers

Given the population of 5000 scores with a mean of 86 and standard deviation of 10. How many scores

4- Event A

: Rolling an even number on a fair die.

Event B

: Rolling a 6

 on a fair die.

Event C

: Rolling an odd number on a fair die.

Given the three events, which of the following statements is true? Select all that apply.

Select all that apply:

• Event A
•  and Event B
•  are mutually exclusive.
  
• Event B
•  and Event C
•  are mutually exclusive.
  
• Event A
•  and Event C
•  are not mutually exclusive.
  
• Event A
•  and Event C
•  are mutually exclusive.

5- Suppose A

and B

are mutually exclusive events, and that P(A)=0.13

and P(B)=0.85

. Find P(A OR B)

2- If the probability of a student taking a calculus class is 0.10

, the probability of taking a statistics class is 0.90

, and the probability of taking a calculus class and a statistics class is 0.07

, what is the probability of a student taking a calculus class or a statistics class?

3-A college has buildings numbered from 1

through 60

. What is the probability that a student will have their first class in a building number that is not a multiple of 8?

A company is trying to decide which of two types of tires to buy for their trucks.

Test whether the differences in scores may be attributed to chance , at 0.01 significance level. the mathematical scores of 6 groups of 4 students each are shown below.

G1 G2 G3 G4 G5 G6

Student 1 84 90 70 95 85 93

Student 2 88 95 73 96 78 85

Student 3 70 93 85 90 75 80

Student 4 80 80 90 90 90 90

In a box there are 4 blue and 8 white marbles. If 2 marables are selected at random, what is the probability to see

a, marbles of the same color?

b, marbles of different color?

c, both blue marbles ?

d, both white marbles?

It is known that the average price for a cappuccino in a restaurant is R15.40 with a standard deviation of R1.20. What is the probability that the sampling error for the mean is less than 0.20 for a sample of 31 restaurants?