The weight of written reports produced in a certain department has a Normal distribution with mean 60 g and standard deviation 12 g. The probability that the next report will weigh less than 45 g is . O 0.0418 O 0.8944 O 0.3994 O 0.1056

Q: ) Identify the Z value in the following diagram of the standard normal distribution (interpolate, as…

A: Note: Hi there! Thank you for posting the question. As there are several independent questions,…

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Q: Suppose the random variable Z follows a standard normal distribution. Then the value of P (Z>-1.00)…

A: P(z>-1.00)=?

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A: Given,mean(μ)=800standard deviation(σ)=40

Q: Given a standard normal distribution, if P (-0.93 <Z< k) =0.7235. then value of k is.

A: Given that Z follows N(0,1) and P(-0.93 &lt; Z &lt; k) = 0.7235. We will use standard normal table…

Q: a) What are the mean and standard deviation of the volume shampoo?dialbllah arenodd b) What is the…

A: NOTE: As per the guidelines, we are supposed to solve the first three sub parts only.

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A:

Q: Find the standard deviation for the given probability distribution. Round to the nearest hundredth.…

A: The probability distribution table is given. We know that, Standard deviation = E(X2)-[E(X)]2

Q: Find  the following probability for a normal distribution Include the 0 before the decimal point…

A: Obtain the probability of z less than 2.14. The probability of z less than 2.14 is obtained below:

Q: If z is a standard normal variable, find the probability when z is less than 1.98

A: Given that, Z score = 1.98 Left tailed

Q: A client has an investment portfolio whose mean value is equal to $1,000,000 with a standard…

A: A client has an investment portfolio whose mean value is equal to $1,000,000 with a standard…

Q: Assume that the salaries of elementary school teachers in the United States are normally distributed…

A: Given: μ=32000, σ=3000, n=100 The corresponding z-value needed to be computed is:

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A: Standard Normal Distribution: A random variable z is said to be a standard normal variable if z…

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Q: Given a normal distribution with u= 100 and or o =10, what is the probability that  >75?

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Q: 1. In a biomedical research study, it was determined that the survival time, in weeks, of an animal…

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A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Given a normal distribution with mean 150 and standard deviation 25, find the indicated probability.…

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Q: The average lifetime of a light bulb is 3000 hours with a standard deviation of 696 hours. A simple…

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Q: If the average yield of a dunum of yellow corn is 800 kg, with a standard deviation of 40 kg, and…

A: Given that : X follow a normal distribution with mean (μ) 800 kg and standard deviation (? ) 40 kg.…

Q: A random sample of 36 junior managers in the offices of corporations in a large city center was…

A: Given: Sample size n = 36 μ = 90 Standard deviation σ = 24

Q: A normal distribution has p = 20 and o = 4. Which is the probability of randomly selecting a score…

A: Given that : Mean = 20     ,      S. D = 4 X = 25  Z  score =   ( X - mean) / S. D

Q: Let X represent the full length of a certain species of newt. Assume that X has a normal probability…

A: It is given that, X~N(110.8, 6.22) A sample size n=220 is to be taken. So, by the CLT, you can…

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Q: Given a normal distribution with µ = 50 and o = 10, find the probability that X assumes a value…

A: Solution :  Given that , μ=50σ=10 To find        P(45&lt;X&lt;62)

Q: The lifespans of domesticated cats are normally distributed, with a mean of 15.7 years and a…

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Q: Given a normal distribution (x) with mean = 100 and standard deviation () = 10what is the…

A: Given,μ=100σ=10P(X&lt;81 or X&gt;101)=?

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A: Given: Let μ be population mean σ be the population standard deviation Given: Mean = standard…

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Q: a. Compute the mean number of accidents per day. H = 1.63 (Type an integer or a decimal. Do not…

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Q: The volume of a dog shampoo filled into a container is uniformly distributed between 370 and 380…

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Q: In a biomedical research activity it was determined that the survival time, in weeks, of an animal…

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Q: c) An engineering company manufactures a product with a mean of 48,000 and a standard deviation of…

A: c. The provided information is µ=48000 hours σ=6000 hours  Using normal distribution  i) After less…

Q: In a study of life expectancy in a certain region, the mean age at death was 70 years, and the…

A:

Q: Suppose that a plaque in an elevator contains the following statement: Maximum weight 3500 pounds or…

A: with a mean of 179.2 pounds and a standard deviation of 29.6 pounds?Suppose that a plaque in an…

Q: (b) A company has 16 cars of this model in its fleet. What is the probability that the average NOX +…

A: u = 84 sigma = 6 n = 16

Q: Given that Z is a standard normal random variable in a standard deviation, what is the value of Z if…

A: Let z be the random variabe which is normally distributed with mean,u=0 and standard deviation,σ=1