In an experiment, a number cube is rolled 4 times. the number of times a 5 shows is recorded. sixty trials of the experiment are run.

the table shows the frequency of any number of 5s occurring in the trials.

number of 5s 0 1 2 3 4
frequency 6 9 33 9 3
create a probability distribution for the discrete variable.

drag the sliders on the horizontal axis to represent the probability distribution.

Step-by-step explanation:

Given that in an experiment, a number cube is rolled 4 times. The number of times a 5 shows is recorded. Sixty trials of the experiment are run.

No of 5'sFreqProb

060.1

190.15

0330.55

330.05

490.15

601

The above is the probability distribution of the discrete variable.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15