Q9 In Exercises 7鈥�14, determine w... [FREE SOLUTION]

Chapter 5: Q9 (page 195)

In Exercises 7鈥�14, determine whether a probability
distribution is given. If a probability distribution is given, find its mean and standarddeviation. If a probability distribution is not given, identify the requirements that are notsatisfied.
Ted is not particularly creative. He uses the pickupline 鈥淚f I could rearrange the alphabet, I鈥檇 put U and I together.鈥漈he random variable xis the number of women Ted approachesbefore encountering one who reacts positively.
x
P(x)
1
0.001
2
0.009
3
0.030
4
0.060

Expert verified

The requirement that the sum of probabilities is equal to 1 is not satisfied.

The probability distribution for the number of women Ted approaches before encountering one who reacts positively is given.

The variable x is the number of women Ted approaches before encountering one who reacts positively.

The requirements are as follows.

1)The variable x is anumerical random variable.

2)The sum of the probabilities is computed as

$鈭� P (x) = 0.001 + 0.009 + 0.03 + 0.06 = 0.100$

Therefore,the sum of the probabilities is not equal to 1 and the difference cannot be explained as roundoff error in the values

3) Each value of P(x) is between 0 and 1.

Thus, the requirement that the sum of probabilities is equal to 1 is not satisfied.

Therefore, the mean and standard deviation for the provided set cannot be computed.

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