Search & Filtering
Monthly spending ($)
Age
20s
30s
$0.00 - $49.99
75
29
$50.00 - $99.99
91
83
$100.00 - $149.99
113
90
$150.00 - $199.99
89
128
$200.00 - $249.99
63
159
$250.00 or more
34
46
Total customers
465
535
Are the events “age of 20s” and “monthly spending of $250.00 or more” mutually exclusive? Explain using probabilities.
Monthly spending ($)
Age
20s
30s
$0.00 - $49.99
75
29
$50.00 - $99.99
91
83
$100.00 - $149.99
113
90
$150.00 - $199.99
89
128
$200.00 - $249.99
63
159
$250.00 or more
34
46
Total customers
465
535
a. Given that a customer spends $200.00 or more, what is the probability that he/she is in his/her 30s?
Monthly spending ($)
Age
20s
30s
$0.00 - $49.99
75
29
$50.00 - $99.99
91
83
$100.00 - $149.99
113
90
$150.00 - $199.99
89
128
$200.00 - $249.99
63
159
$250.00 or more
34
46
Total customers
465
535
a. Given that a customer is in his/her 20s, what is the probability that he/she spends less than $100.00?
Monthly spending ($)
Age
20s
30s
$0.00 - $49.99
75
29
$50.00 - $99.99
91
83
$100.00 - $149.99
113
90
$150.00 - $199.99
89
128
$200.00 - $249.99
63
159
$250.00 or more
34
46
Total customers
465
535
a. What is the probability that a customer spends at least $150.00 and is in his/her 30s?
Monthly spending ($)
Age
20s
30s
$0.00 - $49.99
75
29
$50.00 - $99.99
91
83
$100.00 - $149.99
113
90
$150.00 - $199.99
89
128
$200.00 - $249.99
63
159
$250.00 or more
34
46
Total customers
465
535
a. What is the probability that a customer is in his/her 20s?
the head of the math department claims that the mean height of grade 7 students is 163 cm. the mean height of randomly selected grade 7 students is 161 cm. using 0.05 significance level can it be concluded that the mean height of grade 7 students is shorter than 163 cm?
Suppose that the New England Colonials baseball team is equally likely to win a game as not to win it. If 5 Colonials games are chosen at random, what is the probability that exactly 2 of those games are won by the Colonials?
A population consist of the four numbers1,2,4,and 5. List all the possible sample size n=3 population mean
The set X = {12, 15, a, b} has a mean 15.5 and median 16. It is given that set X is arranged in ascending order.
Determine the values of a and b. [2 marks]
Find the standard deviation of set X. [1 mark]
When each number in set X is decreased by 10, find the mean and standard deviation. [2 marks]
If each number of X is increased by 100%, find the mean and standard deviation.
Consider all possible samples of size 2 that can be drawn with replacement
from the population consists of numbers 1,2, and 3
a. mean of the sampling distribution
b. variance of the sampling distribution
c. standard deviation of the sampling distribution
#331389 on Nov 2022