A restaurant owner speculates from his past experience that 20% of the customers cancel their reservations. The restaurant has a capacity for 760 customers. If there are 762 reservations, write down the expression to find the probability that the restaurant can serve food to all the customers

Q: There are 1000 students in the year level and they have to participate in a certain activity. They…

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Q: In a large population, 59% of the people have been vaccinated. If 5 people are randomly selected,…

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Q: A couple plans to have 4 children. Find the probability of getting exactly 1 girl.

A: The objective of this question is to find the probability of a couple having exactly 1 girl out of 4…

Q: Clara is a medical assistant who gives 14 people a flu shot in one day. The probability of…

A: Givenn=14p=0.14x~Binomial(n=14,p=0.14)P(X=x)=(nx)×px×(1-p)n-x    ;  x=0,1,...,n

Q: probability of getting a total score of 15

A: We have to find out the probability of getting a total of 15.

Q: If the probability that the Mets will win a baseball game is 30%, find the probability that the Mets…

A: Given; P(win)=30%=0.30 Therefore, the probability that the Mets will not win is-

Q: Andre is 70% free throw shooter. If he attempts 20  foul shots, what is the probability that he…

A: Solution: Let X be the number of shots sink and n be the number of foul shots. From the given…

Q: A bag contains 2 red marbles and 5 white marbles. What is the probability of drawing two red marbles…

A: What is the probability of drawing two red marbles at random if the first marble drawn is not…

Q: In MATH, there were 2 assignments this semester. The probability that you would NOT get above…

A: Given The probability not get above average mark in first assignment is P(A)=0.3. The probability…

Q: basketball player makes foul shots 75 % of the time. If she takes 9 shots, what is the probability…

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Q: A high school baseball player has a 0.245 batting average. In one game, he gets 5 at-bats. What is…

A: The probability mass function of Binomial distribution is,  P(X= x) = nCx (p)x (1-p) n-x ; x=…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: In a recent semester at a local university, 600 students enrolled in both statistics I and…

A: In a recent semester at a local university, 600 students enrolled in both statistics I and…

Q: A batch consists of 7 defective spark plugs and 33 good ones. Find the probability of getting two…

A: This is a case of a Poisson random variate. A discrete random variable X is said to follow Poisson…

Q: 27% of all college students major in STEM (Science, Technology, Engineering, and Math). If 50…

A: p( major in STEM)=p=0.27q=1-p=1-0.27=0.73n=50x= no. of them major in STEMhere data follows the…

Q: Six free tickets to a Manchester United match at Old Trafford will be shared by drawing lots among…

A: Given that: Number of tickets = 6 Number of boys = 10 Number of girls = 8 Each student can win at…

Q: Find the probability of getting either a total of 8 or a 5 when rolling a pair of dice once

A: We have yo find  probability..

Q: Alex decides to go to a casino and play his 3 favorite slot machines. He knows from experience that…

A: A probability is likelihood of occurrence of an event.

Q: 62 out of 136 people suffered some type of depression last year. Find the probability that if you…

A: Given n=5

Q: In a large population, 59% of the people have been vaccinated. If 3 people are randomly selected,…

A: n=3,p=59%=0.59X~Binomial(n=3,p=0.59)Let X be the number of person have been vaccinated.p be the…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: High school seniors who are accepted to TCNJ have a 60% yield rate, meaning that 60% of accepted…

A: Given information, the percentage of accepted students decide to attend TCNJ is 60% and there are 3…

Q: Two cards are randomly drawn from a deck of 52playing cards. Find the probability that both cards…

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Q: Marco is a basketball player who succeeds 90% of his free throws. What is the probability that he…

A: the probability that Marco succeeds in minus 7 of his next 10 free throws, you can use the binomial…

Q: If a Basketball player makes 76% of their free throws. What is the probability that they make at…

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Q: Doctors have indicated that 33% of the US population has A+ blood which is the second most common…

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Q: A high school baseball player has a 0.181 batting average. In one game, he gets 5 at bats. What is…

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Q: A grocery store had 10 cartons of milk, 2 of which are strawberry flavored. If you are going to buy…

A: Given A grocery store had 10 cartons of milk, 2 of which are strawberry flavored.  If you are going…

Q: SHOW COMPLETE SOLUTION. If 30% of the bolts produced by a machine are defective, determine the…

A: Given,n=4p=0.3q=1-0.3=0.7A random variable X~Binomial(n=4 , p=0.3)P(X=x)=4x0.3x0.74-x  ;…

Q: Ninety percent of the graduates of State University who apply to a particular medical school are…

A: The objective of this question is to find the probability that only four out of six applicants from…

Q: Eric teaches ceramics in his studio. He estimates that one 20% people who call for information about…

A: Here we need to find the required probability using the binomial distribution.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.