In an experiment, a fair coin is tossed 4 times and the number of heads that occurs is recorded. Eighty trials of the experiment are run.
The table shows the frequency of 0, 1, 2, 3, or 4 heads occurring in the trials.
Number of heads
0
1
2
3
4
Frequency
4
8
36
20
12
Create a probability distribution for the discrete variable.
Drag the sliders on the horizontal axis to represent the probability distribution.

Step-by-step explanation:

Hello!

The experiment consist in "a fair coin is tossed 4 times" the recorded variable is X: number of heads obtained after tossing the coin 4 times

The possible values for this variable: X: 0; 1; 2; 3; 4

The frequencies observed for each possible value of X after repeating the experiment for n=80 times

fi: 4; 8; 36; 20; 12

To create the probability distribution you have to calculate the probability for each value of X, by doing the following calculation

p(X=0)= p(0)= 4/80= 0.05

p(X=1)= p(1)= 8/80= 0.10

p(X=2)= p(2)= 36/80= 0.45

p(X=3)= p(3)= 20/80= 0.25

p(X=4)= p(4)= 12/80= 0.15

For this to be a probability of distribution the following conditions are to be met:

All calculated probabilities are at most zero.

∑p(xi)= 0.05+0.10+0.45+0.25+0.15= 1

  xi | 0 | 1 |   2 |  3  | 4

   fi | 4 | 8 | 36| 20 | 12

p(xi)| 0.05| 0.10| 0.45| 0.25| 0.15

F(Xi)|0.05| 0.15 | 0.60| 0.85| 1

I hope this helps!

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet