Suppose the number of children in a household has a binomial distribution with parameters n = 15 and p = 55%. Find the probability of a household having: (a) 11 or 13 children (b) 11 or fewer children (C) 11 or more children (d) fewer than 13 children (e) more than 11 children Be sure to give your answers to at least 4 decimal places.

Q: The distribution of birth weights (in g) for babies is approximately ?(2750, 560). What is the…

A: We have given that,  If babies birth weights follows normal distribution, with mean( Mu) =2750 and…

Q: The time between arrivals of vehicles at a particular intersection follows an exponential…

A: given data exponential distributionμ = 11 secondsλ = 111 per secondsx = time between…

Q: The IQ of children in a special education class are normally distributed with µ=95 and Q=10 What is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: 1) Suppose that the expected number of accidents occurring on a highway each day = 2. (a) What is…

A: Poisson Distribution: A discrete random variable X is said to be Poisson distribution and the…

Q: The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean…

A: Answer: Using the given data, Let X: The number of calls received by an office on morning between…

Q: served at a cafeteria is a random variable having an exponential distribution with a mean of 3…

A:

Q: The probability of winning on an arcade game is 0.664. If you play the arcade game 22 times, what is…

A: Given  P=0.664 n=22 Find P(X≤9)=?

Q: ssuming that P(green) = 0.75, what is the probability that among his 580 plants

A: Let, Xi be a random variable. Xi = 1,     if ith pea is green0,       otherwise So, Xi = 1,   with…

Q: Suppose the probability of having a boy or a girl is equally likely.  In 6 births, what is the…

A:

Q: Find the probability that the average effective time of the pain relief drug for a sample of 25…

A: The mean is 2 hours and the standard deviation is 0.20 hours.

Q: If the odds of winning on a scratch-off lottery ticket are 8:1,103, what is the probability of…

A: Let A be the event of getting winning on a scratch-off lottery ticket Odd against ratio=8:1103

Q: The number x of people admitted to an intensive care unit in a particular hospital, on any given…

A: We have given that λ = 5X ~ Poisson (λ)                                                        X ~…

Q: The number of calls received by an office on Monday morning between 8:00 AM and 9:00 AM has a mean…

A: Answer: From the given data, Let X represent the number of calls received by an office on morning…

Q: The probability of winning on an arcade game is 0.606. If you play the arcade game 20 times, what is…

A: Let P denote the  probability of winning on an arcade game = 0.606.  Let n denote the number of…

Q: A family's cat is pregnant with 4 kittens. If the probability each kitten will be gray like the…

A: here from given information  p = probability of kitten is not gray  =  1 - 0.49 = 0.51  n =  4

Q: The probability of winning on an arcade game is 0.711. If you play the arcade game 18 times, what is…

A: Binomial distribution:The events that has exactly two possible outcomes (success or failure) follows…

Q: A poll is given, showing 65% are in favor of a new building project. If 9 people are chosen at…

A:

Q: The time between 2 city buses follows exponential distribution with rate 2 buses per hour 1. What is…

A: The probability density function for exponential distribution is given by f(x)=λe-λx and it is…

Q: Calculate the exact probability that the mean of 3 die rolls will be >2.5 and less than or equal to…

A: Here is the experiment of rolling a 3 die. Minimum sum=3 =(1,1,1) Maximum sum=18=(6,6,6) A total…

Q: o more than 14 times? (Round your answer to 3 decimal places, if necessary.)

A:

Q: If a seed is planted, it has a 69% chance of growing into a healthy plant. If 8 seeds are planted,…

A: Formula : Binomial distribution is given by

Q: the time between the arrival of the passengers at the airport follows exponential with a mean of 12…

A: given data time between arrival = 12 minutesλ = 112  per minutex = no. of arrival in t minutest = 15…

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Solution: From the given information, the proportion of eligible voters in the next election who…

Q: Suppose there are many students like Judy (apply to 10 colleges, probability of acceptance is .4,…

A: Given that 10 colleges, probability of acceptance is 0.4 and number of acceptances is distributed…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 625 and the mean…

A: Given information- Population mean, µ = 570 hours Population variance, σ2 = 625 So, Population…

Q: The probability of winning on an arcade game is 0.650. If you play the arcade game 22 times, what is…

A: From the provided information, Probability of winning on an arcade game is 0.650 that is (p) = 0.5…

Q: If a probability or 2 place decimal like area is found to be 077 or - 1.09 0.4377, what is the z…

A:

Q: Suppose that 44% of people own dogs. If you pick two people at random, what is the probability that…

A: According to the given information, we have 44% of people own dogs.

Q: If a probability of something happening is 1 how to convert that into percentage and find it's z…

A: We have given that,  If a probability of something happening is 1 how to convert that into…

Q: A poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

A: A poll is given, showing 70% are in favor of a new building project. If 8 people are chosen at…

Q: Based on historical data, your manager believes that 31% of the company's orders come from…

A: Given information n = 175 orders

Q: A running team consists of 3 athletes. The time duration each athlete can run is given by an…

A: Introduction: For an exponentially distributed random variable X, with mean λ, the cumulative…

Q: The probability of a transformer that has been refurbished at a factory being defective is 0.15. An…

A: Given the probability of a transformer that has been refurbished at a factory being defective =…

Q: The table below describes a sample of males and females who like and dislike pizza. Give answers to…

A: a) The contingency table is given as follows: Gender Likes pizza Dislike pizza Total…

Q: Suppose the time it takes a cashier to serve a customer follows an exponential distribution with a…

A: given data service time : μ = 3 minutes λ = 13 per minute

Q: The proportion of eligible voters in the next election who will vote for the incumbent is assumed to…

A: Given, The proportion of eligible voters in the next election who will vote for the incumbent is…

Q: The ratio to the probabilities of 3 successes and 2 successes among 5 independent trials = Find the…

A: Let X be the number of successes out of the 5 independent trials. Here because of the independence…

Q: The life of light bulbs is distributed normally. The variance of the lifetime is 225 and the mean…

A:

Q: help please answer in text form with proper workings and explanation for each and every part and…

A: Given:sample size n = 142ClassObserved Frequency (fo)X=029X=141X=239X=323X≥410A chi-square…

Q: At a certain bank the amount of time that a customer spends being served by a teller is exponential…

A: The exponential mean of customer served by teller is 3 minutes.

Q: The probability that a z-score will be between -1.4 and -1.04 is?

A: The objective of this question is to find the probability that a z-score will fall between -1.4 and…

Q: Robi has recently hired a batch of new employees. Of the new recruits, 72% were able to meet…

A: Given, Meet expectations = 0.72 Not meet expectations  = 0.28 Out of 72% of satisfactory recruits…

Q: The probability of winning on an arcade game is 0.632. If you play the arcade game 27 times, what is…

A: Let X be the random variable representing the number of times, the game has been won out of 27…

Q: If x=5, then probability of not getting outcome for x=5 is?"

A: Let the probability of getting the value x=5 be P(5)=p There are n sample points in the problem. It…