For a large population of people, the probability distribution for the random variable X = the number of meals a person ate yesterday and the assigned probabilities is given below: Meals, X Probability (a) Find P(X= 5), the probability that a randomly selected person ate 5 meals yesterday. P(X= 5) = 1 2 3 4 5 0.17 0.35 0.24 0.17 ? (b) Find P(X ≤ 2), the probability that a randomly selected person ate 2 or fewer meals yesterday. P(X ≤ 2) = (c) Find the probability that a randomly selected person ate 1 meal or ate 5 meals yesterday. P = (d) Find P(X> 1), the probability that a randomly selected person ate more than 1 meal yesterday. P(X > 1) =

For the probability distribution, find a. X b. P(y> 2) c. F(y= 6) d. P(y = 6) e. f(y= 4) f. f(y= 6) g. F(y = 5.5) h. F(4) f. Mean of X f(y) = 0.05, 0.10, 0.15, 0.20, X, y= -2 y = -1 y = 0 y = 1 y = 2

The acceptable level for insect filth in a certain food item is 2 insect fragments​ (larvae, eggs, body​ parts, and so​ on) per 10 grams. A simple random sample of 40 ​ten-gram portions of the food item is obtained and results in a sample mean of x=2.3 insect fragments per​ ten-gram portion.  What is the probability a simple random sample of 40 ​ten-gram portions of the food item results in a mean of at least 2.3   ​P(x≥2.3​)= ​(Round to four decimal places as​ needed.)

For the probability distribution of a discrete random variables, the sum of the probabilities of all possible values of x is always

A probability distribution function has which characteristic(s)? (Select all characteristic that applies.) Each probability is between zero and one, inclusive. Each probability is larger than one. The sum of the probabilities is one. The sum of the probabilities is larger than one.

A continuous random variable is normally distributed. The probability that a value in the distribution is less than 135 is 0.3454. Find the probability that a value in the distribution is greater than 135