Statistics and Probability Answers

Learning Tasic No. 1

A die is lossed. What is the probability of getting

1.3 _____

2. An even number _____

3.7 _____

4. An odd number _____

5. A prime number _____

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

2. A basket of fruits contains eight (8) apples and ten (10) oranges. Half of the apples and half of the oranges are rotten. If one (1) fruit is chosen at random, what is the probability that a rotten apple or an orange is chosen?

3. A small-time bingo card cost P100.00 for 5 games. The prize for the first three games is P5,000.00, the fourth is P10,000.00 and the last prize is P20,000.00. if 1,000 bingo cards are going to be sold and you could only win once, what is the expected value of a ticket?

7. You pick a card from a deck. If it is a face card, you will win P500.00. if you get an ace, you will win P1,000. If the card you picked is red you get to P100.00. for any other card, you will win nothing. Find the expected value that you can possibly win.

1. The number of typing errors on page follows a poisson distribution with a mean of 6.3. find the probability of having exactly six (6) errors on a page.

2. 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?

3. If one ball 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?

DIRECTIONS: Determine the critical value and illustrate the rejection region under the

normal curve by using the given information.

4

Ha α Critical Value Illustration

1. p ≠ 0. 52 0.01

2. p > 0.35 0.10

3. p < 0.7. 0 0.05

4. p > 0.65 0.05

5. p ≠ 0. 46 0.01

‘Bhartdarshan’ is an Internet-based travel agency wherein customers can see videos of the

cities they plan to visit. The number of hits daily is a normally distributed random variable

with a mean of 10,000 and a standard deviation of 2,400.

a. What is the probability of getting more than 12,000 hits?

b. What is the probability of getting fewer than 9,000 hits?

Suppose that the average outstanding credit card balance for your professionals is P11,200 with a standard deviation of P2,600. In a simple random sample of 150 young professionals, what is the probability that the mean outstanding credit card balance does not exceeds P11,800?

Find the finite population correction factor given the following:

a. N= 300, n= 50

b.

N= 2500, n= 100

C.

N = 150, n= 10

Parameter, null hypothesis: in words:, alternative hypothesis in words, directional or non directional, level of significance: 1. The young engineers in a manufacturing company claim that the mean annual income is greater than php 500,000. Test the claim using 95% confidence level