Suppose that you and two friends go to a​ restaurant, which last month filled approximately 78 % of the orders correctly. What is the probability that at least two of the three orders will be filled​ correctly?

Q: Suppose that a fast food restaurant can expect two customers every 3 minutes, on average. What is…

A: In this question we will be using Poisson distribution.  It is given that the restaurant can expect…

Q: If a seed is planted, it has a 95% chance of growing into a healthy plant. If 6 seeds are planted,…

A: X: The healthy growing plant. n = 6 p = 0.95 We have to find that the exactly one plant does not…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Let us denote X= number of plants that do not grow healthy n= number of trials= 10 probability of…

Q: Suppose a coffee shop sells one cup of coffee 5 minutes. What is the probability that the coffee…

A: It is given that, A coffee shop sells once coffee in 5 minutes. Now, The number of Coffee sells in…

Q: In a mall there is a clothing seller who does a discount. If there are 10 out of 45 people who visit…

A:

Q: If one of these 210 individuals is selected at random, what is the probability that the person is a…

A: Here use Bayes Rule

Q: Suppose a baseball player's batting average is .325. What is the probability that in the next 100…

A: Let X denotes number times player hit ball.  It is given that player's batting average is 0.325.…

Q: If a seed is planted, it has a 80% chance of growing into a healthy plant. If 7 seeds are planted,…

A: Given that,Sample size, n = 7 Probability(grow) = 80% = 0.80 Probability(do not grow) = 1 -…

Q: (a) Suppose that 10 % persons in a large group of people are obese. If persons are checked one by…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose the probability of a bank making a mistake in processing a deposit is .0003. If 10,000…

A: Given,n=10,000p=0.0003here n is large and p is very small so we haveto use poisson distribution with…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 11 seeds are planted,…

A:

Q: If a seed is planted, it has a 85% chance of growing into a healthy plant. If 7 seeds are planted,…

A:

Q: If a seed is planted, it has a 60% chance of growing into a healthy plant. If 7 seeds are planted,…

A: Let X= the number of seeds that grow into a healthy plant n=number of trials=7  p=probability of…

Q: A lie detector is known to be 70% reliable when the person is quilty and 95% reliable when the…

A: The machine is reliable when person is guilty is 70% The machine is reliable when person is not…

Q: What is the probability that Olivia receives exactly 3 texts from Robert after the fifth text, but…

A:

Q: In a second grade class containing 14 girls and 11 boys, 2 students are selected at random to give…

A:

Q: Eight out of ten motorcyclists wear safety helmets in states that do not require them. If two…

A: Total number of motorcyclists  = 10 No.of motorcyclists wear safety helmets = 8 The probability that…

Q: If 12 balls are thrown at random into 20 boxes, what is the probability that no box will receive…

A: Define the event, A : no box will receive more than one ball If 12 balls are thrown into 20 boxes…

Q: if eight coins are flipped 5 times what is the probability of obtaining at least one ​head?

A:

Q: A couple decides to continue to have children until they have two males. Assuming that P(male) =…

A:

Q: A manufacturer claims that a new drug is 85% effective. If the drug is given to 10 patients, find…

A: The binomial probability distribution is, PX=x=nxpx1-pn-x In the formula, n denotes the number of…

Q: Suppose that a person rolls two balanced dice three times in succession. Determine the probability…

A: Here Given two balanced die are rolled  so Probability of each outcome is  same And each is rolled…

Q: 4 out of 100 televisions in stock are defective. If you select one television at random, find the…

A: Here, n=100 and p=0.04.

Q: Suppose a baseball player's batting average is .325. What is the probability that in the next 100…

A: Given : Suppose a baseball player's batting average is .325. What is the probability that in the…

Q: If a seed is planted, it has a 90% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Obtain the probability that exactly 3 don't grow.   The probability that exactly 3 don't grow is…

Q: When dealt with 2 cards successfully without replacement from a shuffled deck of 52 cards. Find the…

A: We can pick 2 cards from 52 cards in 52×51=2652We can get a spade at first in 13 ways.We can get a…

Q: Suppose 10% of the people who are given a certain drug experience dizziness as a side effect.  If 15…

A: Solution: Let X be the number of people will become dizzy and n be the sample number of people. From…

Q: A painting is selected at random from the three Manila painters, what is the probability that it won…

A:

Q: A fair coin is flipped 3 times. What is the probability that at least two heads are flipped?

A: Introduction: Since the coin is fair, the probability of getting a head is the same as that of…

Q: if the probability that a bowler will bowl a strike is 0.7, what is the probability that he will get…

A: Binomial distribution: A binomial distribution is used to calculated the probability of a success or…

Q: If a seed is planted, it has a 70 %chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given data, p=0.70 (grows healthy plant) If n=10 then P(X=1) doesnot grow=?

Q: If you roll a fair 6-sided die 9 times, what is the probability that at least 2 of the rolls come up…

A: Given: A fair 6 sided dice which is rolled 9 times. Probability=Number of favourable outcomesTotal…

Q: A meteorologist found from the past year’s records that it rained 17% of the days. Based on this…

A: Let X= number of days rained  Number of observation= 15  probability of X= p = 0.17  So, X follows a…

Q: What is the probability that a randomly selected student prefers rock and sings in the shower 0…

A:

Q: The Dallas Mavericks play the Oklahoma City Thunder in a best of 7 game NBA playoff series. If the…

A: The given scenario follows binomial distribution with n=7 and p=0.40.

Q: If a seed is planted, it has 75% chance of growing into healthy plant. If 12 seeds are planted,…

A: Given that, 75% chance of growing into healthy plant.  Sample size = 12

Q: If 1 day of the week is chosen at random to be Mary's day to mow the lawn, what is the probability…

A:

Q: A publisher sends advertising materials for an accounting text to 80% of all professors teaching the…

A: Let: R= Events of received materials R'= Events of not received materials  A= Event of adopting text…

Q: A school survey found that 9 out of 10 students like pizza. If three students are chosen at random…

A: We have to find given probability..

Q: If a seed is planted, it has a 65% chance of growing into a healthy plant. If 10 seeds are planted,…

A: Given: P( chance a seed grows into a healthy plant) = 0.65 n = 10

Q: The Principal reported that 30% of the students in first year have a failing grade. If this is true,…

A: Given: The Principal reported that 30% of the students in first year have a failing grade. Let X be…

Q: Suppose that 40% of boys opted for mathematics and 60% of girls opted for mathematics. What is the…

A: Define the events as: B: The student is a boy B' : The student is not a boy (the student is a girl)…

Q: Suppose you toss a coin (heads or tails) three times. If the coin is fair, what is the probability…

A:

Q: Two cards are drawn in succession without replacement, in a deck of ordinary cards. If it is known…

A:

Q: If a seed is planted, it has a 70% chance of growing into a healthy plant. If 11 seeds are planted,…

A: Obtain the probability that exactly 1 doesn't grow.   The probability that exactly 1 doesn't grow is…

Q: Suppose that about 55% of the people who are murdered actually knew the murderer. Suppose that a…

A: It is given that, the proportion of people who are murdered actually knew the murdered (p) is 0.55…

Q: If a seed is planted, and it has 75% chance of growing into a healthy plant and if 6 seeds are…

A: Given, p=75%=0.75 (Grow as healthy plant) q=1-p=0.25   If n=6 P(X=3) dont grow =?

Q: A class has six students. What is the probability that at most four of the students were born on a…

A: We know that there are 7 days in a week. The number of weekdays=5 So the probability of having a…

Q: the sales manager knows that 10% of his clients do not pay their debts in full. He supposes that he…

A: We have to find out given probabiity that 14%  or more will not be fulfilled in their…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.