A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person (based on a Microsoft Instant Messaging survey).

x P(x)

0 0.091

1 0.334

2 0.408

3 0.166

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.

This data is not a probability distribution

The reason sum of the probabilities is not equal

∑ P(X=x) ≠ 1

Step-by-step explanation:

Explanation:-

Given data

x         0            1                  2              3

p(x)    0.091    0.334          0.408      0.166

Discrete distribution :-

Probability distribution of a random variable is the set of its possible values together with their respective probabilities. Suppose X is a discrete random variable with possible outcomes (values) x₁ , x₂ , x₃ ,......... The probability of each possible outcome

If the numbers  satisfy the two conditions

i)

ii) ∑P(X=x) =1

Given data condition(i) satisfied

but the condition (ii) is not satisfied

0.091+0.334+ 0.408+ 0.166 = 0.999

sum off all probabilities is not equal to one

Conclusion:-

The given data is not probability distribution

correct choice is b

step-by-step explanation:

when you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. for the function the average rate of change from point to point can be calculated as

to find the average rate of change from day 2 to day 10, note that at day 2, 8 houses were sold, so a(2,8) and at day 10, 2 houses were sold, so b(10,2). thus,