Statistics and Probability Answers

Olive Construction Company is determining whether it should submit a bid for a new shopping center. In the past, Olive's main competitor, Base Construction Company, has submitted bids 70% of the time. If Base Construction Company does not bid on a job, the probability that Olive Construction Company will get the job is 0.50. If Base Construction Company does bid on a job, the probability that Olive Construction Company will get the job is 0.25.

(a)Draw the tree diagram

The average breaking strength of steel rods is specified to be 18.5 thousand lbs. for this a sample of 14 rods was tested. The mean and standard deviation obtained were 17.85 and 1.955, respectively. Test the significance of the deviation by using 5% level of significance. (t=2.16 at 5%. d.f = 13) O

The mayor of a city suspects that the average family income in his city hall has fallen since the last 

decennial was P4,200.00, a random sample of 50 families is taken. This sample has a mean income of 

P13,420.00 and a standard deviation of P4,360.00 can the mayor conclude that the mean income has fallen? 

Use .05 level of significance

A population consists of the four numbers 3,7,11,15,the variance of the population is

1. The variance of a binomial distribution is

a. npq

b. nq

c. pq

d. np

1. One light bulb is selected at random from a lot of 120 light bulbs of which 5% are defective. What is the probability that the selected light bulb is defective?

a. 0.05

b. 0.2

c. 0.1667

d. 0.06

1. A pair of fair dice is cast. Calculate the probability that the two dice do not show the same number

a. 0.1389

b. 0.0278

c. 0.1667

d. 0.8333

1. If a card is drawn at random from a standard 52-deck cards, what is the probability that the card drawn is an ace?

a. 0.25

b. 0.3077

c. 0.5

d. 0.0769

1. The number of bank robberies that occur in Lagos is modeled to be Poisson distributed with mean of 1.8 per day. Find the probability of getting exactly three robberies in a day.

a. 0.3213

b. 0.1607

c. 0.8393

d. 0.4137

1. On the menu list of a restaurant, there are 4 vegetables, 3 salads and 2 types of bread. If a customer\n wants one vegetable, one salad and one bread, how many possible choices are there for him?

a. 36

b. 24

c. 12

d. 48