High school probability Uncovered: Discover the Secrets with Plainmath's Expert Help

A binomial probability is given. Write the probability in words.​ Then, use a continuity correction to convert the binomial probability to a normal distribution probability.
${\displaystyle P(x=114)}$
Write the probability in words.
The probability of getting ? 114 successes.
Which of the following is the normal probability statement that corresponds to the binomial probability statement?
A) ${\displaystyle P\left(113.5<x<114.5\right)}$
B) ${\displaystyle P\left(x<114.5\right)}$
C) ${\displaystyle P\left(x<113.5\right)}$
D) ${\displaystyle P\left(x>114.5\right)}$
E) ${\displaystyle P\left(x>113.5\right)}$

Compute P(X) using the binomial probability formula. Then determine whether the normal distriution can be used to estimate this probability. If so, approximate P(X) using the normal distriution and compare the result with exact probability.
${\displaystyle n=47,p=0.6}$, and ${\displaystyle X=34}$
For ${\displaystyle n=47,p=0.6}$, and ${\displaystyle X=34}$, use the binomial probability formula to find P(X).
(Round to four decimal plases as needed.)
Can be normal distriution be used to approximate this probability?
A. Yes, because $\sqrt{np(1-p)}\ge 10$
B. No, because ${\displaystyle \sqrt{np(1-p)}\le 10}$
C. No, because ${\displaystyle np(1-p)\le 10}$
D. Yes, because ${\displaystyle np(1-p)\ge 10}$

Consider a binominal experiment with 2 trials and ${\displaystyle p=0.4}$
a. Compute the probability of 1 success f(1)
b. Compute f(0)
c. Compute f(2)

To find: The probability of getting exactly 14 variegated plants.
Given info:
A nursery provides red impatiens for commercial landscaping. If 5% are variegated instead of red. A sample of 200 plants was taken.

Suppose ${\displaystyle X\sim B(n=10,p=.3)}$ using the binomial distribution table we have: ${\displaystyle P\left(X<4\right)}$ is:
a) .3828
b) .8497
c) .4059
d) .6496

A coin is tossed n times.
a) What is the probability that exactly k heads occur?
b) What is the probability that at most two heads occur?
Type in your answers below in terms of k and n. As a student of computer science, your typeset answer should be an accurate use of the characters (parentheses, slash, exponent symbol, etc).

Find the value of ${\displaystyle P(X=7)}$ if X is a binomial random variable with ${\displaystyle n=8}$ and ${\displaystyle p=0.9}$.

According to a 2014 Gallup poll. 56% of uninsured Americans who plan to get health insurance say they will do so through a government health insurance exchange.
a) What is the probability that in a random sample of 10 people exactly 6 plan to get health insurance through a goverment health insurance exchange?
b) What is the probability that in a random sample of 1000 people exactly 600 plan to get health insurance through a government health insurance exchange?
c) What are the expected value and the variance of X?
d) What is the probability that less than 600 people plan to get health insurance through a government health insurance exchange?

Assume that a procedure yields a binomial distribution with ${\displaystyle n=6}$ trials and a probability of success of ${\displaystyle p=0.50}$. Use a binomial probability table to find the probability that the number of successes x is exactly 3.
Click on the icon to view the binomial probabilities table.
${\displaystyle P\left(3\right)=0.257}$ (Round to three decimal places as needed.)

A retailer is receiving a large shipment of media players. In order to determine whether she should accept or reject the shipment, she tests a sample of media players; if she finds at least one defective player, she will reject the entire shipment. If 0.5% of the media players are defective, what is the probability that she will reject the shipment if
a)she tests fifteen media players.
b)she tests thirty media players.

In binomial probability distribution, the dependents of standard deviations must includes.
a) all of above
b) probability of q
c) probability of p
d) trials

A binomial probability distribution has ${\displaystyle p=.20\text{and}n=100}$.
a. what are the mean and standard deviation?
b. Is this situation one in which binomial probabilities can be approximated by the normal probability distribution? Explain.
c. what is the probability of exactly 24 successes?
d. what is the probability of 18 to 22 successes?
e. what is the probability of 15 or fewer successes?

On a 8 question multiple-choice test, where each question has 2 answers, what would be the probability of getting at least one question wrong?
Give your answer as a fraction

To obtain: The probability that at most 80 drivers will say yes.
Given info:
The number of drivers selected in the United States is 200 and the drivers said yes for the given question is 0.47.

To obtain: The probability that the claim will be accepted.
Given info:
The sample size is ${\displaystyle n=100}$ and the drug manufacturer claims that a drug cures a rare skin disease is 65% of the time.

According to a study by the Bureau of Justice Statistics, approximately 5% of the nations

Give the numerical value of the parameter n in the following binomial distribution scenario.
The probability of buying a movie ticket with a popcorn coupon is 0.597 and without a popcorn coupon is 0.403. If you buy 18 movie tickets, we want to know the probability that no more than 13 of the tickets have popcorn coupons.
Consider tickets with popcorn coupons as successes in the binomial distribution. Do not include ${\displaystyle n=}$ in your answer. Provide your answer below:

Harry Ohme is in change of the electronics section of a large store. He has noticed that the probability that a customer who is just browsing will buy something is 0.3. Suppose that 15 customers browse in the electronics section each hour. What is the probability that no browsing customers will buy anithing during a specified hour?

75% of all bald eagles survive their first year of life. Give your answers as decimals, not percents. If 30 bald eagles are randomly selected, find the probability that.
Between 20 and 26 (including 20 and 26) of them survive their first year of life.

I have a large jar of red and green M&M’s with 55% red M&M’s. I plan to pick 7 M&M’s.
1. I want to find the probability that I get 2 red M&M’s out of 7.
a) How many different ways can you get 2 red M&Ms out of 7? Use the formula for the binomial coefficient to find that number.
b) Use your answer from (d) and the binomial formula to calculate the probability that you get 2 red M&M’s out of 7.
c) Use your calculator to find the probability that I get 3 red candies out of the 7 picked