Answer to Question #324556 in Statistics and Probability for Mae

Question

A random variable x has the probability distribution as follows:

x | 1 | 2 | 3 | 4 | 5 |

P(x) | 0.1 | 2k | 0.4 | 0.25 | 0.1 |

a. Find k.

b. Construct a probability histogram to describe P(x).

Answer 1

0.1+2k+0.4+0.25+0.1=1

2k=0.15

k=0.075