STATISTICS AND PROBABILITY

TEST A.

The following data show the probabilities for the number of cars sold in a given day at a car dealer store.

Number of cars X = 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |

Probability P (X). = 0.100 | 0.150 | 0.250 | 0.140 | 0.090 | 0.080 | 0.060 | 0.050 | 0.040 | 0.025 | 0.015 |

Answer the following below. SHOW YOUR SOLUTIONS or PUT EXPLANATION to support your answer.

A. P( X < 10)

B. P ( 0 )

C. What is the probability that the number sold cars sold in a given day is at least 4 but not more than 8?

D. What is the probability that three or more cars will be sold in a given day?

E. P (4 is less than or equal to X < 9)

TEST B.

Solve the following problems. SHOW YOUR SOLUTIONS.

Let K = number of spots that appear in tossing a die once, with probability

distribution given by the table below.

Outcome K = 1 | 2 | 3 | 4 | 5 | 6 |

P (x) = 1/6 | 1/6 | 1/6 | 1/6 | 1/6 | 1/6 |

a. Find the mean of K.

b. Find the variance and standard deviation of K.

c. Find the expected value of K.

TASK #1

Create a journal or real-life situations where the concepts of random variables and probability distribution can be applied or can be applied.