01.2 fill in the missing value so the table represents a probability distribution

X -1, 3, 8, 10

P(x) 0.31, 0.28, 0.06, ?

01.3 the govt has enacted maximum allowable standards for air pollutants such as ozone. Let x be the number of days per year that the level of pollution exceeds the stanard. The probability distribution of x is given by

X 0, 1, 2, 2, 3

P(x) 0.33, 0.38, 0.19, 0.06, 0.04

Find the probability that the standard is exceeded on at least one day. Round to 2 decimal places.

01.4 find the mean of the random variable with the following probability distribution. Round to one decimal place.

X -1, 5, 10, 16, 21

P(x) 0.04, 0.16, 0.10, 0.48, 0.22

01.5 a number of people were ask how many days they would wait to seek medical advice if they were suffering from pain that interfered with their work.

Number of days 0,1,2,3,4,5

Frequency 27, 467, 236, 133, 19, 10

Cconsider this collection of people to be a population. X is the days a person sampled at random from the population. Find the probability that a person would wait more than 2 days. Round to 4 decimal places.