Answer:
The probability that an 18-year-old man selected at random is greater than 65 inches tall is 0.8413.
Step-by-step explanation:
We are given that the heights of 18-year-old men are approximately normally distributed with mean 68 inches and a standard deviation of 3 inches.
Let X = <u><em>heights of 18-year-old men.</em></u>
So, X ~ Normal(
)
The z-score probability distribution for the normal distribution is given by;
Z =
~ N(0,1)
where,
= mean height = 68 inches
= standard deviation = 3 inches
Now, the probability that an 18-year-old man selected at random is greater than 65 inches tall is given by = P(X > 65 inches)
P(X > 65 inches) = P(
>
) = P(Z > -1) = P(Z < 1)
= <u>0.8413</u>
The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.8413.
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Question 1
Consider the sequence:
8, 11, 14, 17, 20, 23, 26, ...
Write a recursive definition.
Question 2
Which sequences could be described by the recursive definition
2, 5, 14, 41, 122...
Question 3
Given that the first term is and the recursive definition is would be the 2nd term
<h2>
Answer:</h2>
x = 1, -4
Step-by-step explanation:
Find the roots of x:
2 + 3
x − 4 = 0 by solving for x
.
As the width gets larger so does the total area
Answer:
No.
Step-by-step explanation:
The Triangle Inequality Theorem states that this is not possible.