Question

Ted is not particularly creative. He uses the pickup line​ "If I could rearrange the​ alphabet, I'd put U and I​ together." The random variable x is the number of women Ted approaches before encountering one who reacts positively. Determine whether a probability distribution is given. If a probability distribution is​ given, find its mean and standard deviation. If a probability distribution is not​ given, identify the requirements that are not satisfied.
x
​P(x)

0
0.001
1
0.007
2
0.033
3
0.059
Does the table show a probability​ distribution? Select all that apply.

Answer 1

Answer:

It is not  a probability  distribution as some data is missing.

Step-by-step explanation:

It is not  a probability  distribution as some data is missing.

Since it  is discrete and,

$\sum_{x = 0}^{3}$P(X = x)

= (0.001 + 0.007 + 0.033 + 0.059)

= 0.1 ≠ 1

and we know that for

$f_{X}(x) = P(X = x)$

to be classified as a discrete probability function,

1. 0 ≤ P(X = x) ≤ 1  and   ∀ x ∈ R and

2. $\sum_{x \epsilon M}$P(X = x) = 1

where M is  the support of X or the set of points where P(X = x) > 0

must hold.