To be able to determine the type of skew exhibited by the distribution of the heights he achieved in each of his attempt we arrange the distribution in order and obtain the frequency of each data in the distribution. Height (meters): 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24 Frequency: 2, 1, 1, 2, 2, 3, 1, 2, 1, 1, 1, 1, 1, 1 Calculating the mean gives (11 x 2 + 12 + 13 + 14 x 2 + 15 x 2 + 16 x 3 + 17 + 18 x 2 + 19 + 20 + 21 + 22 + 23 + 24) / 20 = 335 / 20 = 16.75 Since there are more higher frequencies to the left of the mean we conclude that the distribution exhibits a positive skew.
Answer:
a) P(75 < x < 80 ) = 0.2088
b) The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given mean of the Population = 72
Given variance of the Population = 18 inches.
Standard deviation of the Population = √18 = 4.242
Let 'x' be the random variable in Normal distribution
a)
Given X₁ = 75

Given X₂= 80

The probability that average height of all humans between 75 and 80

= | A ( 1.885) - A( 0.70721|
= 0.4699 - 0.2611
= 0.2088
P(75 < x < 80 ) = 0.2088
b)
<u><em>Step(ii)</em></u>:-
Given X₁ = 65

The probability that average height of all humans less than 65
P( X < 65 ) = P( Z < - 1.650 )
= 1 - P( Z > 1.650)
= 1 - ( 0.5 + A (1.650))
= 0.5 - A( 1.65)
= 0.5 - 0.4505
= 0.0495
The probability that average height of all humans less than 65
P( X < 65 ) = 0.0495
Answer:
2.87
Step-by-step explanation:
To find the sales tax
Take the amount of the purchase and multiply by the tax rate
35.88 * 8%
35.88 * .08
2.8704
Rounding to the nearest cent
2.87
Answer: Option 'd' is correct.
Step-by-step explanation:
Since we have given that
Number of hours of pop music = 3
Number of hours of classical music = 2
According to question, Every month onwards, the hours of pop music in her collection is 5% more than what she had the previous month. Her classical music does not change.
Rate of increment = 5% = 0.05
Let the number of months be 'x'.
So, our required function becomes,

Hence, Option 'd' is correct.