Question 3
2 answers:
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Answer:
a) z = 1.16
b) P(x ≥ 2) = 0.8508
c) z = 1.555
Step-by-step explanation:
a) Find z such that 87.7% of the standard normal curve lies to the left of z.
Lies to the left, so it has a pvalue of 0.877. This is z = 1.16
b) Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability.
μ = 2.4; σ = 0.35
P(x ≥ 2) =
This is 1 subtracted by the pvalue of Z when X = 2, in which
has a pvalue of 0.1492.
So
P(x ≥ 2) = 1 - 0.1492 = 0.8508.
c) Find z such that 6% of the standard normal curve lies to the right of z.
To the right, so z has a pvalue of 1-0.06 = 0.94%. So z = 1.555.
Answer
Given: Sorry the images are at the bottom.
To find:
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Solution:
On inspection of values of x and f(x) it is clear that f(x) is a linear function
i.e.
1)Slope of f(x) and y-intercept of f(x):
Convert the function in slope intercept form and calculate the slope.
Slope intercept form:
Here,
Slope of f(x)=1,
y-intercept of f(x)=(0,0)
2) Slope and y-intercept of g(x):
Slope of g(x)=7
Y-INTERCEPT of g(x) =(0,2)
Part A:
Slope of f(x) is 1 and slope of g(x) is 7.
Part B:
g(x) has a greater y-intercept.
Hope it helps you.
