A hospital switch board receives an average of 4 emergency calls in 10 minutes interval. a) What is the probability that there are at most 2 emergency calls? b) What is the probability that there are 2 emergency calls?

Q: 2 When a person takes pennies to a coin counting machine, the average number of pennies inserted is…

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Q: Assume that when adults with smartphones are randomly selected, 45% use them in meetings or classes.…

A: Given that n =15 , P =0.45 Using binomial distribution Find P ( x <3 ) =?

Q: In a family with 7​children, excluding multiple​ births, what is the probability of having7 ​girls?…

A: total no.of possible outcomes of a family having a 7 children iss=27s=128

Q: A manufacturing machine has a 3% defect rate. If 7 items are chosen at random, what is the…

A: Let x follows binomial distribution with parameters n = 7 and p = 0.03   The pdf of binomial…

Q: A committee of three is to be chosen at random from a group of 7 employees consisting of 4 females…

A: The probability that committee will have at least one female =P(at least one female) =1-P(no female)…

Q: A personnel officer has 8 candidates to fill 4 similar positions. 5 candidates are men, and 3 are…

A: Given: Total number of candidates, n=8 Number of men, m=5 Number of women, w=3 Candidates required…

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Q: A postman has to deliver five letters to five different houses in a street. Unfortunately, the rain…

A: Probability is a branch of mathematics which is basically deals with the chances of happening an…

Q: A manufacturing machine has a 5% defect rate. If 4 items are chosen at random, what is the…

A: A manufacturing machine has a 5% defect rate.If 4 items are chosen at random, what is the…

Q: what is probability that a PIN number is 4 consecutive digits

A: The numbers  0,1,2,3,4,5,6,7,8,9 can be used for 4 digit  PIN  number. There are 10 choices  for 1st…

Q: Suppose a jar contains 16 red marbles and 16 blue marbles. If you reach in the jar and pull out 2…

A: Given information : Number of red marbles = 16. Number of blue marbles = 16. Total number of marbles…

Q: 5 people are chosen randomly from 4 women and 5 men to participate in an event.  What is the…

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Q: ng machine has a 7% defect rate. If 5 items are chosen at random, what is the probability that at…

A: Here it is given that - Total number of samples(n) = 5 Sample proportion (p) = 7100=0.07 As n and p…

Q: Assume that when adults with smartphones are randomly​ selected, 59​% use them in meetings or…

A:

Q: A manufacturing machine has a 3% defect rate. If 3 items are chosen at random, what is the…

A: Given information- We have given that a manufacturing machine has 3% defect rate. Probability of…

Q: A manufacturing machine has a 5% defect rate. If 3 items are chosen at random, what is the…

A: Let "X" be the manufacturing machine has a defect.

Q: What is the probability of drawing 3 white and 4 green balls from a bag that contains 5 white and 6…

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Q: Suppose that 5 Black balls, 3 White ball and 2 Green balls are placed into a bag. Assume that the…

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Q: A manufacturing machine has a 4% defect rate. If 4 items are chosen at random, what is the…

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Q: | Suppose that a DJ has two (2) turntables and one (1) microphone. If the failure rate of a single…

A: here you have posted many questions as all are different , I have calculated first main question…

Q: A manufacturing machine has a 10% defect rate. If 7 items are chosen at random, what is the…

A: From the provided information, A manufacturing company has 10% defect rate that is p = 0.10 Sample…

Q: A manufacturing machine has a 4% defect rate. If 10 items are chosen at random, what is the…

A: Given: Sample size (n) = 10 Probability of success (p) = 0.04 Probability of failure (q) = 1-p =…

Q: Find the probability that in tossing a fair coin three times, there will appear not more than 1…

A: Let p be the probability of getting a tail in one toss, then p = 0.5 (Since coin is fair) Let X…

Q: A manufacturing machine has a 10% defect rate. If 3 items are chosen at random, what is the…

A: 1) It is given that p=0.10 and n=3.

Q: A hospital switch board receives an average of 5 emergency calls in 10 minutes interval. What is…

A:

Q: A manufacturing machine has a 5% defect rate.If 8 items are chosen at random, what is the…

A: Given,Probability for defective, P=5%=0.05.If 8 items are randomly chosen, n=8.

Q: A committee of 4 is to be chosen at random from a group of 4 men and 3 women What is the probability…

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Q: What is the probability that 3 are Green and 2 are Red?

A: It is given that  Green marbles = 7 Red marbles = 4 Total marbles = 11

Q: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be drawn…

A: Given data: A box contains 17 balls of each color (i.e., green, red, and blue). If 5 balls are to be…

Q: What is the probability of drawing 3 black cards in a row with replacement? With replacement means…

A: Obtain the probability of drawing 3 black cards in a row with replacement.   The probability of…

Q: Assume that when adults with smartphones are randomly​ selected, 57​%use them in meetings or…

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Q: Assume that a particular professional baseball team has 10 ​pitchers, 5 ​infielders, and 10 other…

A: TO work out the required probability , using counting principles

Q: a bag contains 6 red marbles , 5 yellow marbles and 7 green marbles , how many additional red…

A: Finding the number of additional red marbles added:Let x be the required number of additional red…

Q: A manufacturing machine has a 5% defect rate. If 6 items are chosen at random, what is the…

A: Binomial distribution: The binomial distribution gives the probability of number of successes out of…

Q: A manufacturing machine has a 9% defect rate. If 6 items are chosen at random, what is the…

A:

Q: A manufacturing machine has a 8% defect rate. If 3 items are chosen at random, what is the…

A: From the provided information, A manufacturing machine has an 8% defect rate that is p = 0.08 Sample…

Q: A manufacturing machine has a 3% defect rate. If 4 items are chosen at random, what is the…

A: Here, X denotes that the item is defective, which follows binomial distribution with n=4 and p=0.03.…

Q: What is the probability of getting exactly four 2s in casting a die 7 times?

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Q: A manufacturing machine has a 2% defect rate. If 7 items are chosen at random, what is the…

A: Let us denote  X=the number of items that are defective n=number of trials=7 p=probability of…

Q: A manufacturing machine has a 2% defect rate. If 8 items are chosen at random, what is the…

A: Let X be the number of defected machine from binomial distribution with probability (p) = 2% = 0.02…

Q: A manufacturing machine has a 2% defect rate. If 4 items are chosen at random, what is the…

A: Let X be the number of machines that are defective. Let success be considered as defective. Then, if…

Q: A manufacturing machine has a 7% defect rate. If 4 items are chosen at random, what is the…

A: Given Data: The defect rate of the machine is: p=7% The number of chosen items is: n=4   The…

Q: A manufacturing machine has a 5% defect rate. If 10 items are chosen at random, what is the…

A: Binomial distribution is discrete distribution that deals with the probabilities of success and…

Q: Assume that when adults with smartphones are randomly​ selected, 43% use them in meetings or…

A: Define the random variable x as the number of adults using smartphones in meetings or classes. Here,…

Q: What is the probability that a six-card poker hand contains 3 pairs? What is the probability that an…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: A postman has to deliver five letters to five different houses in a street. Unfortunately, the rain…

A: There are total 5 letters so and only 1 Letter is right for every house so the probability that…

Q: Suppose a jar contains 11 red marbles and 10 blue marbles. If you reach in the jar and pull out 2…

A: Given that the jar contains marbles of color; 11 red 10 blue Hence we have 11 + 10 = 21 marbles in…

Q: In one town, 66% of adults have health insurance. What is the probability that 4 adults selected at…

A: It is given that, in a town 66% of the adults have health insurance.

Q: A manufacturing machine has a 2% defect rate. If 9 items are chosen at random, what is the…

A: Binomial distribution is given by

Q: A manufacturing machine has a 5% defect rate. If 5 items are chosen at random, what is the…

A: