Statistics and Probability Answers

able building company is deciding whether to submiit a bid to build a new shopping centre. In the past, ABC's main competitor, Big Building Company (BBC) has submitted bids 70% of the time. If BBC does not bid for a job, the probability that ABC will get the job is 50%. If BBC bids on a job, the probability that ABC will get the job reduces to 25%. What is the probability that ABC will get the job?

The weights of the Grade 11 students at the University of Santo Tomas are normally distributed with a mean of 82 pounds and a standard deviation of 7 pounds.

a. What is the probability that a randomly grade 11 student in the University of Santo Tomas is above 90 pounds?

b. What is the probability that a randomly grade 11 student in the University of Santo Tomas is below 80 pounds?

c. What is the probability that a randomly grade 11 student in the University of Santo Tomas is between 75 pounds and 85 pounds?

d. If there are 186 students at the University of Santo Tomas, how many students weigh below 80 pounds?

Neha has 4 yellow t-shirts, 6 black t-shirts, and 2 blue t-shirts to choose from for her outfit today. She chooses a t-shirt randomly with each t-shirt equally likely to be chosen. Find the probability that a black or blue t-shirt is chosen for the outfit.

In a viral pool test it is known that in a group of five (5) people, exactly one (1) will test positive. If they are tested one by one in random order for confirmation, what is the probability that only two (2) tests are needed? 

If one ball each is drawn from 3 boxes, the first containing 3 red, 2 yellow, and 1 blue, the second box contains 2 red, 2 yellow, and 2 blue, and the third box with 1 red, 4 yellow, and 3 blue. What is the probability that all 3 balls drawn are different colors? 

One bag contains 6 red, 2 blue, and 3 yellow balls. A second bag contains 2 red, 4 blue, and 5 yellow balls. A third bag contains 3 red, 7 blue, and 1 yellow ball. One bag is selected at random. If 1 ball is drawn from the selected bag, what is the probability that the ball drawn is yellow? 

1. A psychologist believes that it will take at least an hour for certain disturbed children to learn a task. 

2. According to the norms established for a history test, grade 8 students should have an average of 81.7 with a standard deviation of 8.5.

What is the probability that a randomly chosen flight arrives on time?

1. Calculate the first four moments about the mean from the following frequency distribution. 

      Also calculate the Moment Ratios b1 and b2.                         

Groups

2------4

4-------6

6------8

8-----10

10----12

12----14

14----16

16----18

18----20

Frequency

18

24

47

80

102

66

40

21

15

Lottery games are very popular, but what are the actual probabilities that a ticket purchased is going to win? Calculate the probability of winning some of the more popular games. A game that draws 3 digits from 0-9 from three separate machines. What is the probability of winning a “box” bet by matching the three digits in any order?What is the probability of not matching any numbers on a ticket? A game that draws 5 digits from 1-49 from the same machine. In other words, numbers are drawn and not replaced. What is the probability of winning the jackpot by matching all 5 numbers?What is the probability of winning a major prize by matching 4 of the 5 numbers? Make the calculation assuming the first 4 values are matched and the fifth one does not.What is the probability of not matching any numbers on a ticket?