In: Math
Question 7
The following lists of data represent five separate departments' technicians overtime for a week. Which has the smallest standard deviation?
Select the correct answer below:
a)28, 26, 20, 17, 21, 29, 28, 28, 17, 22
b)14, 15, 15, 12, 11, 14, 11, 13, 14, 12
c)34, 26, 34, 26, 22, 34, 24, 26, 25, 24
d)21, 15, 14, 27, 21, 24, 27, 20, 20, 30
e)9, 17, 21, 9, 14, 18, 22, 10, 12, 16
Question 8
A deck of cards contains RED cards numbered 1,2,3,4,5,6 and BLUE cards numbered 1,2,3. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an example of which of the following events? Select all correct answers.
Select all that apply:
B AND O
R OR E
E′
B′
R AND E
O′
B AND E
Question 9
If A and B are events with P(A)=0.2, P(A OR B)=0.62, and P(A AND B)=0.18, find P(B).
Provide your answer below:
Question 10
The probability of buying a movie ticket with a popcorn coupon is 0.608. If you buy 10 movie tickets, what is the probability that 3 or more of the tickets have popcorn coupons? (Round your answer to 3 decimal places if necessary.)
Provide your answer below:
P(X greater than or equal to 3)=
Question 11
At a certain company, the mentoring program and the community outreach program meet at the same time, so it is impossible for an employee to do both. If the probability that an employee participates in the mentoring program is 0.51, and the probability that an employee participates in the outreach program is 0.21, what is the probability that an employee does the mentoring program or the community outreach program?
Provide your answer below:
Question 12
A grain elevator measures the weight of each truck that delivers grain to their site. What is the level of measurement of the data?
a)Nominal
b)Ordinal
c)Interval
d)Ratio
Question 13
Let W be the event that a randomly chosen person works for the city government. Let V be the event that a randomly chosen person will vote in the election. Place the correct event in each response box below to show:
Given that the person works for the city government, the probability that a randomly chosen person has will vote in the election.
P(_ _ )
Question 14
Carlos and Devon both accepted new jobs at different companies. Carlos's starting salary is $42,000 and Devon's starting salary is $40,000. They are curious to know who has the better starting salary, when compared to the salary distributions of their new employers.
A website that collects salary information from a sample of employees for a number of major employers reports that Carlos's company offers a mean salary of $52,000 with a standard deviation of $8,000. Devon's company offers a mean salary of $48,000 with a standard deviation of $5,000.
Find the z-scores corresponding to each of their starting salaries. Round to two decimal places, if necessary.
Provide your answer below:
Carlos's z-score:
Devon's z-score:
Question 15
A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3,4,5,6, and GREEN cards numbered 1,2. If a single card is picked at random, what is the probability that the card is GREEN?
Select the correct answer below:
6/13
3/13
5/13
2/13
12/13
10/13