Statistics and Probability Answers

Suppose that the annual household income in a small Midwestern community is normally distributed with a mean of $55,000 and a standard deviation of $4,500.
a. What is the probability that a randomly selected household will have an income between $50,000 and $65,000?

b. What is the probability that a randomly selected household will have an income of more than $70,000?

The weight of a species of cat follows the normal distribution with the mean of 32kg and the standard deviation
of 5kg.

A box contains 40 Balls, 25% of them are white whereas the rest of them are black. A person randomly
picked 4 balls from the box without replacement, find the probability of getting 3 black balls and 1
white ball.

Mean of binomial distribution is 20 and s.d is 4.find n,p,q

on average 3 traffic accidents per month occur at a certain intersection. what is the probability that in any given month at thisintersection exactly 5 accidents will occur?

The black casing for a model of laptop is to be made from a large bag of mixed plastic pellets (ie very small balls), 97% of the pellets are the raw plastic, 3% of the pellets are the black pigment. A person randomly picked 4 pellets without replacement, find the probability of getting 3 pellets of raw plastic and 1 pellet of the black pigment.

A political discussion group consists of 5 Democrats and 7 Republicans. Four members are selected to attend a conference. Find the probability that the selected group will consist of all Republicans.
Group of answer choices

Given that this flight was neoy heavily delayed, find the probability that it travelled between 500 km and 5000 km

When there is no significant difference among three or more means, the value of F will be close to which number?