Answer:
(a) 2.22
(b) 1.3986
(c) 1.183
Step-by-step explanation:
Let <em>X</em> denote the number of women who consider themselves fans of professional baseball.
The proportion of women who consider themselves fans of professional baseball is, <em>p</em> = 0.37.
A random sample of <em>n</em> = 6 women are selected and each was asked if she considers herself a fan of professional baseball.
Each woman's reply is independent of the others.
The random variable <em>X</em> thus follows a binomial distribution with parameters <em>n</em> = 6 and <em>p</em> = 0.37.
(a)
Compute the mean of the binomial distribution as follows:
(b)
Compute the variance of the binomial distribution as follows:
(c)
Compute the standard deviation of the binomial distribution as follows:
Answer:
15.6 meters/minute
Step-by-step explanation:
Slope of the line =(7- -5) / (-3-1) = 12 / -4 = -3
a. point slope form is y + 5 = -3(x - 1) Answer
b rearrange to slope-intercept form:-
y = -3x + 3 - 5
y = -3x - 2 Answer
Answer:
The time the patient expected to survive after diagnosis is 29 years.
Step-by-step explanation:
It is provided that the mean survival time after diagnosis for a certain disease is 15 years with a standard deviation of 5 years.
That is,
An individual's predicted survival time is <em>a</em> = 2.8 standard deviations beyond the mean.
Compute the time the patient expected to survive after diagnosis as follows:
Thus, the time the patient expected to survive after diagnosis is 29 years.
Answer:
x = 2 + sqrt(5) or x = 2 - sqrt(5)
Step-by-step explanation using the quadratic formula:
Solve for x over the real numbers:
7 (x^2 - 4 x - 1) = 0
Divide both sides by 7:
x^2 - 4 x - 1 = 0
Add 1 to both sides:
x^2 - 4 x = 1
Add 4 to both sides:
x^2 - 4 x + 4 = 5
Write the left hand side as a square:
(x - 2)^2 = 5
Take the square root of both sides:
x - 2 = sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
x = 2 + sqrt(5) or x - 2 = -sqrt(5)
Add 2 to both sides:
Answer: x = 2 + sqrt(5) or x = 2 - sqrt(5)
