X: Vitamin B content of a slice of bread µ= K microgram where “K” is 54...

X: Vitamin B content of a slice of bread µ= K microgram where “K” is 54 and σ= 0.005 milligrams. a) According to Chebyshev’s Theorem, what is the interval of vitamin B content that at least 8 out of 9 slices of bread satisfy? b) Assume that X has a normal distribution, find the exact probability of observing the interval you find in part a)Compare and discuss the results.

Solutions

Expert Solution

Clearly here X is a random variable with a probability distribution.

It is given that mean and standard deviation of the distribution of X are 54 mg and .005 mg respectively.

The further derdetai solution is given in the pictures below.

Please go through them carefully specially the notations.

All the best. Thank you.

[NOTE: I have used standard normal table values which you can find on any standard book and on internet]

orchestra answered 1 year ago

Next > < Previous

Related Solutions

X: Vitamin B1 content of a slice of bread µ= 3 microgram and σ= 0.005 milligram...

X: Vitamin B1 content of a slice of bread µ= 3 microgram and σ= 0.005 milligram a) According to Chebyshev’s Theorem, what is the interval of vitamin B1 content that at least 8 out of 9 slices of bread satisfy? b) Assume that X has a normal distribution, find the exact probability of observing the interval you find in part a). Compare and discuss the results.

X: Vitamin B1 content of a slice of bread μ= 33 microgram and σ= 0.005 milligram...

X: Vitamin B1 content of a slice of bread μ= 33 microgram and σ= 0.005 milligram a) According to Chebyshev’s Theorem, what is the interval of vitamin B1 content that at least 8 out of 9 slices of bread satisfy? b) Assume that X has a normal distribution, find the exact probability of observing the interval you find in part a). Compare and discuss the results.

vitamin K is necessary for the absorption of vitamin B 12 from the intestines

I got the following equation from the lesson's summary: P(X=k) = (e^-µ µ^K) / k! When calculating...

I got the following equation from the lesson's summary: P(X=k) = (e^-µ µ^K) / k! When calculating the probability while answering the homework problems I always seemed to be off by a very small amount. The only explanation given under the problem after hitting show answer is 1 - P(x=0) -P(x=1) - ... up until x = the number given in the question. I am confused where this equation or these types of calculations are coming from and would love some...

A random variable X has a distribution p(X=k) = A / (k(k+1)), k = 1,2,...,4, where...

A random variable X has a distribution p(X=k) = A / (k(k+1)), k = 1,2,...,4, where A is an constant. Then compute the value of p(1<=X<=3) The answer will be either: 2/3, 3/4, 5/6, or 15/16 A discrete random variable X is uniformly distributed among −1,0,...,12. Then, what is its PMF for k=−1,0,...,12 The answer will be either: p(X = k) = 1/12, 1/13, 1/14, or 1

If X is a random variable with CDF F(x) = e-e(µ-x)/β, where β > 0 and...

If X is a random variable with CDF F(x) = e-e(µ-x)/β, where β > 0 and -∞ < µ, x < ∞; calculate the median of X. Also, obtain the PDF of X.

-Vitamin A, D ,C ,B, K , Ca2+, Na+, Cl- , Glucose , Glycine , GABA,...

-Vitamin A, D ,C ,B, K , Ca2+, Na+, Cl- , Glucose , Glycine , GABA, and Caffeine Does each of these act on receptors? And if they do what receptors do they act on?

Let X be a random variable with CDF F(x) = e-e(µ-x)/β, where β > 0 and...

Let X be a random variable with CDF F(x) = e-e(µ-x)/β, where β > 0 and -∞ < µ, x < ∞. 1. What is the median of X? 2. Obtain the PDF of X. Use R to plot, in the range -10<x<30, the pdf for µ = 2, β = 5. 3. Draw a random sample of size 1000 from f(x) for µ = 2, β = 5 and draw a histogram of the values in the random sample...

Let X ∼ Normal(µ, 1). (a) Give an interval (L, U), where U and L are...

Let X ∼ Normal(µ, 1). (a) Give an interval (L, U), where U and L are based on X, such that P(L < µ < U) = 0.99. (b) Give an upper bound U based on X such that P(µ < U) = 0.99. (c) Give a lower bound L based on X such that P(L < µ) = 0.99.

Consider the velocity potential phi = -k( y^2 - x^2 ) where k is a constant....

Consider the velocity potential phi = -k( y^2 - x^2 ) where k is a constant. This velocity potential is commonly used to describe flow impinging upon a plate. Derive an equation for dP/dy, the pressure gradient in the y-direction, if the fluid has density, rho.

Subjects