The weights of a dog show is normally distributed - id15317827, Fm610899

Question

Mathematics: The weights of a dog show is normally distributed with a mean of 58 pounds and a standard deviation of 17.2 pounds. Use the standard normal curve to find each of the following probabilities. *Notice if it says z (indicating z-score) or x (indicating data value). **Remember with percentages to use percent symbols, but probabilities must be less than 1. So probabilities DO NOT have percent symbols. Round to the nearest ten-thousandth.

Fm610899 · Accepted Answer

Probability that Box A was chosen given that black marble is chosen is 0.5.

Step-by-step explanation:

Since we have given that

Number of boxes = 2

In Box A,

Number of black marbles = 1

Number of white marbles = 3

In Box B,

Number of black marbles = 2

Number of white marbles = 4

Since black marble is selected.

So, using Bayes theorem , we get that

$P(E_1|B)}=\dfrac{P(E_1).P(B|E_1)}{P(E_1).P(B|E_1)+P(E_2).P(E_2|B)}\\\\P(E_1|B)=\dfrac{0.5\times \dfrac{1}{3}}{0.5\dfrac{1}{3}+0.5\times \dfrac{2}{6}}\\\\P(E_1|B)}=\dfrac{0.167}{0.167+0.167}\\\\P(E_1|B)}=0.5$

Hence, probability that Box A was chosen given that black marble is chosen is 0.5.

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