Consider the probability that exactly 95 out of 160 computers will not crash in a day. Assume the probability that a given computer will not crash in a day is 62%. Approximate the probability using the normal distribution. Round your answer to four decimal places.

Q: Consider the probability that exactly 91 out of 159 students will pass their college placement…

A: We have given that  p=61%=0.61 , q=1-p=1-0.61=0.39 n=159 X~Binomial(n=159,p=0.61)

Q: The values 25, 26, 25, 25, 25, 26, 39, 41, 90, 101 appear to follow a normal distribution. O True O…

A: We have given that that data 25, 26, 25, 25, 25, 26, 39, 41, 90, 101. Here, we need to find out that…

Q: Find the probability using the normal distribution: P(z> 1.50).

A: We will use Standard Normal table to calculate the given probability.

Q: For a standard normal distribution find the probability that you get a Z scorebetween -1.73 and…

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Q: The mean of a standard normal probability distribution

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Q: Researchers at a reputable university and a reputable health organization claim that approximately…

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Q: for a binomial distribution, the mean is 4 and n=8. What is p for this distribution?

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Q: Use the normal distribution to approximate the desired probability. Find the probability that in 200…

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Q: The factory workers in Brighton are prone to a disease called Pneumonia. In a recent survey in a…

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Q: A normal distribution has μ = 20 and σ = 4.  What is the probability of randomly selecting a score…

A: Obtain the probability of randomly selecting a score greater than 25 from this distribution. The…

Q: Jacob helped his younger sister create a gameboard spinner. The spinner has a 53% chance of landing…

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Q: Use the standard normal distribution table to find the probability P(Z<−2.73)P(Z<-2.73) Round to 4…

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Q: construct a probability distribution and draw a graph for a family of 3 children.  Let X represent…

A: According to the given question, construct a probability distribution and draw a graph for a family…

Q: Find the variance of the probability distribution for the histogram shown.

A: From the given histogram we can create the probability distribution table. Xi probability, p(x)…

Q: A normal distribution has μ = 80 and σ = 10.  What is the probability of randomly selecting a score…

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Q: The average number of mice in a 5-acre rice field is estimated to be 80. Find the probability that a…

A: Given that  The average number of mice in a 5-acre rice field is estimated to be 80. Find the…

Q: An oil company conducts a geological study that indicates that an exploratory oil well should have a…

A: Geometric distribution: The probability mass function of Geometric distribution is P(n) = p(1 - p)n…

Q: Suppose that a variable of a population has a bell-shaped distribution. If you take a large simple…

A: From the given question,

Q: Find the indicated probability using the standard normal distribution. P(-2.45<z<2.45)

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Q: Given a normal distribution with μ = 70 and σ = 7, what is the probability that: (i)      X < 60

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Q: Find the mean, variance and standard deviation for the probability distribution given below:

A: Mean is the average value of the given observation. It is based on the all observation Standard…

Q: Use the normal distribution to the right to answer the questions.   ​(a) What percent of the scores…

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Q: The normal probability distribution is applied to?

A: Normal Distribution The normal distribution is continuous probability distribution. A random…

Q: Statistics released by a reputable traffic safety organization show that on an average weekend…

A: The following information has been given: The probability of success is: p=110  =0.1 q=1-p  =1-0.1…

Q: Find the probability using the normal distribution. P (0 <= < 2.01)

A: Given Data: Z is the standard normal distribution

Q: The normal PROBABILITY plot is supposed to show a straight line if your data have a normal…

A: Normal probability plot: It can be used to determine the small sets of data come from a normal…

Q: 1 Would you describe the shape of this distribution as: normal skewed left skewed right

A: Here we have given the histogram.     From using this histogram we have to identify the shape of…

Q: The national average SAT score (for verbal and math) is 1028. Assume a normal distribution with…

A: Let X be the national average SAT score. It is known that, X~N1028, 922 The probability to be found…

Q: Compute the mean, standard deviation, and variance for the probability distribution below. Round the…

A: 1 0.2 0.2 1 0.2 4 0.3 1.2 16 4.8 5 0.1 0.5 25 2.5 9 0.4 3.6 81 32.4       The mean of…

Q: 2. The average number of mice in a 5-acre rice field is estimated to be 80. Find the probability…

A: Given,The average no.of mice in 5 acre field is 80so, the average no.of mice in 1 acrefield…

Q: A direct mail company wishes to estimate the proportion of people on a large mailing list that will…

A: Proportion z score : The standard normal z score formula for the proportion test is given by…

Q: A Statistics show that on an average weekend night, 1 out of every 10 drivers on the road is drunk.…

A: Given data, n=400 p=110q=1-p=910 P(25&lt;X&lt;38)=?

Q: Sketch the normal distribution with a. μ = 3 and σ = 3. b. μ = 1 and σ = 3. c. μ = 3 and σ = 1.

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Q: (e) What is the distribution of X? () What is the probability that the total scores of 100 students…

A: It is given that mean is 520 and the standard deviation is 115.

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A: Given that  X~Normal(μ= 590 , σ= 74 )  μ= 590 , σ= 74 , n = 24

Q: Find the mean, variance and standard deviation for the binomial distribution with n = 100 and p 0.75…

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Q: A direct mail company wishes to estimate the proportion of people on a large mailing list that will…

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Q: A.pl-0.8042< 6.80

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Q: Assume you have a normal distribution representing the likelihood of project completion times. The…

A: Let "X" be the likelihood of project completion times in days.

Q: Sketch the normal distribution with μ=4 and σ=1.

A: Given : μ=4 σ=1

Q: What is the probability that observations in a standard normal distribution will be: ?(−1.21 < ? <…

A: Given:  Z follows standard normal distribution with mean 0 and variance 1 . z1 = -1.21  z2 = 0.57 We…

Q: Find the mean and standard deviation of this probability distribution

A: The mean is defined as Mean = E(X) = ∑x.px And E(X2) can be calculated as∑x2·px Then Standard…

Q: Customers of a restaurant have been complaining about food poisoning over the past week. A health…

A: Obtain the probability that exactly 14 test positive for salmonella.   The probability that exactly…

Q: You have a uniform distribution whose lowest value is 7 and whose highest value is 15. Find the…

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Q: FIND THE STANDARD DEVIATION The number of items sold per day at a retail store, with its…

A: We have the probability distribution

Q: Find the probability for a normal distribution p(-0.80

A: In given question does not mention that Z is either &lt; or &gt; Now , I'm going to solve for the…

Q: The following table represents the probability of the number of cars owned by a college student.…

A: We want to find the mean , standard deviation  Note: According to bartleby experts question answers…

Q: Suppose you sample one value from a uniform distribution with a=0 and b=50. a. What is the…

A: Let X be the random variable from Uniform (0,50) then probability distribution function is,…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!