9 Questions

1. Assuming a normal distribution.Dinner for two at The Diner cost on average $45 with a standard deviation of $5.

What is the probability a random couple spends MORE than $33 on dinner at The Diner?

A. 25.14

B. 57.67%

D. 15.4%

C. 99.18%

2. The probability that a professor in the business department is full time is 30%. If we randomly select 9 professors; What is the probability that 3 or fewer of them are FULL TIME?

C. 73%

D. 17.2%

B. 15.6%

A. 26.7%

3. There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that more than 5 PASS their first statistics exam?

26.13%

15.86%

1.88%

29.03%

4.Assuming a normal distribution. Dinner for two at The Diner cost on average $45 with a standard deviation of $5. What is the probability a random couple spends between $50 and $58 on dinner at The Diner?

83.66%

34.13%

15.4%

49.53%

5. The number of injuries in football each week is known to follow a Poisson distribution with a mean of 0.6. Find the probability that this week there will be less than 2 accidents?

B. 87.81%

D. 0.18%

C. 32.93%

A. 0.33%

6. McDonalds is extremely busy on weekdays and serves many different people. The probability that a customer buys chicken is 30%. The probability that a customer buys a burger is 30%. The probability that a customer buys fries is 25%. The probability that a customer buys chicken and fries 25%. The probability that a customer buys a burger and fries is 35%. What is the probability that a customer buys a burger OR fries?

20%

30%

55%

25%

7. You just bought a new briefcase and need to pick a four digit combination out of 10 possible numbers for the lock. If order does matter how many possible lock combinations can you choose from?

D. 995

A. 5,040

C. 210

B. 110,250

8. There is a 40% probability that a student PASSES their first statistics exam. Using a Binomial Distribution, if we randomly select 7 students: What is the probability that 3 or fewer FAIL their first statistics exam?

71.02%

26.13%

29.03%

15.28%

9. You are starting your new job and have to wear a dress shirt, suit and tie every day.

In your closet you have 4 blue shirts, 3 plaid shirts, and 2 striped shirts.

You have 1 blue suit, 2 black suits, and 1 brown suit,

You also have 2 blue ties, 3 red ties, and 3 pink ties.

What is the probability that you pick astripedshirt AND abluesuit AND apinktie?

B. 2.08%

C. 7.69%

D. 5.65%

A.3.85%