Given a normal distribution with mean equal to 40 and a standard deviation of 6, find the value of x that has 14% of the area to the right.

Q: Draw a normal curve below and draw a line where x = 0.6950.             Calculate what z-value shows…

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Q: Find the area under the curve that is outside of two standard deviations from the mean.

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Q: Find the area under a normal curve with ?= 6.9 and σ = 1.7 between 4.5 and 11.2. Please write…

A: Given area under a normal curve with mu= 6.9 and σ = 1.7 between 4.5 and 11.2.

Q: Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and o 16 days.…

A: Answer:- Given, The lengths of human pregnancies are normally distributed with μ = 266 days and σ =…

Q: find the area under the standard normal distribution curve. To the left of z = -1.45

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Q: Suppose the lengths of human pregnancies are normally distributed with p = 266 days and o = 16 days.…

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Q: Suppose the grades in a finite mathematics class are Normally distributed with a mean of 75 and a…

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Q: Find the area under the standard normal curve to the right of z=-2.28. The area to the right of…

A: Step 1: To find the area under the standard normal curve to the right of z = -2.28, we can use the…

Q: Find the area of the shaded region. The graph depicts the standard normal distribution of bone…

A: Given information- We have given the standard normal distribution with mean 0 and standard deviation…

Q: z-score corresponding to the given area

A: Given that Z is distributed as the standard normal distribution with mean of  and standard deviation…

Q: Find the area of the standard normal distribution that lies to the left of Z = −1.8.

A: 1. The area of the standard normal distribution that lies to the left of z = – 1.8. The standard…

Q: Find the area under the standard normal distribution curve between  =z −1.47  and  =z 1.34 .

A: It is needed to find the area under the standard normal distribution curve between z = –1.47 and z =…

Q: A vertical line drawn through a normal distribution at z = -0.72 separates the distribution into two…

A: Given :  A vertical line drawn through a normal distribution at z = -0.72 separates the distribution…

Q: Find the area under the standard normal distribution curve between =z0  and =z1.83 . Use The…

A: Given, Z = 0 and  Z = 1.83       To find, Pr (0 < Z < 1.83) = ?

Q: find the area under the standard normal distribution curve. To the right of z = −1.92 show all…

A: The standard normal variable Z follows normal distribution with mean 0 and standard deviation 1.

Q: find the indicated area under the standard normal curve. to the left of z = -1.75

A: Given: To the left of z = -1.75

Q: Find the area under the standard normal distribution curve between z = -0.30 and z= 1.06. Use a…

A: Press 2ND and VARS choose normalcdf

Q: 1. Given a normal distribution with u = 40 and o = 6, find the value of x that has (a) 48% of the…

A: Given,mean(μ)=40standard deviation(σ)=6

Q: Find the area under the standard normal distribution curve between z=-2.25 and z--0.83. Use a TI-83…

A: It is given two Z-score values 1) Z = -2.25 2) Z = -0.83

Q: d the area under the normal curve to the left of z=−0.23 plus the area under the normal curve to…

A: Find the area under the normal curve to the left of z=−0.23 by using the standard normal table.…

Q: Find the area under the normal curve to the left of z= -1.56 plus the area under the normal curve to…

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Q: Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and o=16 days.…

A: GivenMean(μ)=266standard deviation(σ)=16

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!