Answer: a. 0.14085
b. 3.826 x 
c. 0.5437
d. 0.0811
Step-by-step explanation:
Given average amount parents and children spent per child on back-to-school clothes in Autumn 2010 ,
= $527
Given standard deviation ,
= $160
Let X = amount spent on a randomly selected child
Also Z =
a. Probability(X>$700) = P(
>
) = P(Z>1.08125) = 0.14085 {Using Z % table}
b. P(X<100) = P( Z <
) = P(Z< -2.66875) = P(Z > 2.66875) = 3.826 x 
c. P(450<X<700) = P(X<700) - P(X<=450)
P(X<700) = 1 - P(X>=700) = 1 - 0.14085 = 0.8592
P(X<=450) = P(Z<=
) = P(Z<= -0.48125) = P(Z<=0.48125) = 0.3155
So final P(450<X<700) = 0.8592 - 0.3155 = 0.5437
d. P(X<=300) = P(Z<=
) = P(Z<= -1.4188) = P(Z>=1.4188) = 0.0811
All the above probabilities are calculated using Z % table along with interpolation between two values.
Answer:
Louis has faster pitch when compared to each of their teams.
Step-by-step explanation:
We have two pitchers which we need to compare to each of their teams.
To calculate this, we will approximate the distributions to a normal distribution, and calculate the z-score, to know what proportion of players of their team fall below their score.
For Jerry, he has a speed of 86 and his team has a mean speed of 93 and standard deviation of 3.
We can calculate the z-score for Jerry speed as:

The proportion of players that are below Jerry speed is approximated by the standard normal distribution:

For Louis, his speed is 84 and his team has a mean speed of 89 and standard deviation of 3.5.
We can calculate the z-score for Jerry speed as:

The proportion of players that are below Louis speed is approximated by the standard normal distribution:

As the proportion of players of Louis team that are below Louis speed is much bigger than the proportion of players of Jerry's team that are below Jerry speed, we can say that Louis has faster pitch when compared to each of their teams.
Answer:
0.101
Step-by-step explanation:
Given that :
Standard deviation, s = 0.2
Sample variance, s² = 0.0653
Sample size, n = 10
Population variance = σ² = 0.04
We use the Chi square distribution :
(n - 1)s² / σ²
For P(s² ≥ 0.065)
(n - 1)s² / σ² = (10 - 1)*0.0653 / 0.04
(n - 1)s² / σ² = 0.585 / 0.04 = 14.625
P(s² ≥ 14.625) = 0.101 ( chi squee calculator).
If George's bike weighs 15 pounds, then we can say that because Obed's bike is 3 pounds heavier than George's, Obed's bike weighs 18 pounds. If Obed's bike weighs 18 pounds, then we can say that because Elsa's bike is twice as heavy as Obed's, Elsa's bike weighs 9 pounds.
Answer: 0 slope, horizontal line.
Step-by-step explanation:
when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.