Using the normal distribution, it is found that:
1. 85% of NBA players are taller than Greg.
2. 15% are shorter.
3. A height of 6'11'' would be needed.
<h3>Normal Probability Distribution</h3>
In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:
- It measures how many standard deviations the measure is from the mean.
- After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.
In this problem:
- In inches, considering that a feet has 12 inches, the mean is of .
- The standard deviation is of .
- Greg is 6'3'', that is, X = 6 x 12 + 3 = 75.
Item 1:
The proportion is <u>one subtracted by the p-value of Z</u>, hence:
has a p-value of 0.15
1 - 0.15 = 0.85.
85% of NBA players are taller than Greg.
Item 2:
100 - 85 = 15% are shorter.
Item 3:
This is X when Z has a p-value of 1 - 0.025 = 0.975, so X when Z = 1.96.
83 = 6 x 12 + 11.
A height of 6'11'' would be needed.
More can be learned about the normal distribution at brainly.com/question/24663213
Answer:
2.5 pounds of meat
Step-by-step explanation:
Sinα=h/L
α=arcsin(h/L)° we are told that h=18 and L=20 so
α=arcsin(9/10)°
α≈64° (to nearest whole degree)
Answer:
$18.02
Step-by-step explanation:
25 is the original price
25 times .2(20%) means you get a $5 discount, then you have a price of $20 for the item. Multiply that by .15(15%) for an additional discount of $3, making the item $17 now. 17 times .06(6%) gives you the tax of 1.02, and add that to the item price and you get a total of $18.02