The probability distribution was used along with statistical software to simulate 25 repetitions of the experiment (25 games). The number of hits was recorded. Approximate the mean and standard deviation of the random variable X based on the simulation. The simulation was repeated by performing 50 repetitions of the experiment. Approximate the mean and standard deviation of the random variable. Compare your results to the theoretical mean and standard deviation. What property is being illustrated?

Hello here is the missing data to your question

x  P(x)

0  0.167

1  0.3289

2  0.2801

3  0.149

4  0.0382

5  0.0368

The theoretical values are lower than the approximate values and the property illustrated is the mean and standard deviation

A) 1.6729

B)  1.234061

C) 1.84

D)  1.462874

Step-by-step explanation:

A) calculate the theoretical mean

theoretical mean (u) = summation of ;

                 = 0(0.167)+1(0.3289)+2(0.2801)+3(0.149)+4(0.0382)+5(0.0369)

                 = 1.6729

B) calculate the theoretical standard deviation

     theoretical standard deviation = =

=

= 1.234061

C) calculate the approximate mean

the generated data used for calculation is added below

mean (x) = = = 46/25 = 1.84

D) calculate the approximate standard deviation

std =

     =

    = = 1.462874

w

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950