Answer:
Step-by-step explanation:
Given that Z is a standard normal variate.
We are to calculate the probabilities as given
F(z) represents the cumulative probability i.e. P(Z<z)
a. P(z ≤ −1)
=F(-1)
= 0.158655
b. P(z > .95)
= 1-F(0.95)
= 0.1711
c. P(z ≥ −1.5)
= 1-F(-1.5)
= 0.9332
d. P(−.5 ≤ z ≤ 1.75)
=F(1.75)-F(-0.5)
= 0.6514
e. P(1 < z ≤ 3)
=F(3)-F(1)
=0.1573
Answer:
Total number of spaces in the shape: 6 spaces.
Red: 3/6
Blue: 2/6
Orange: 1/6
Answer:
Therefore Marcus is incorrect.
Step-by-step explanation:
Total ticket that Marcus bought= 100%.
Marcus used 50% of ticket on rides.
and he used
of the tickets on the video games.
The percentage form of any number x is

The percentage form of
is

=25%
Therefore rest tickets are
=Total ticket-( ticket used in rides + ticket used in video games)
=100% - (50%+25%)
=100% - 75%
=25%
Therefore he used 25% of tickets in batting cage.
But he said that Marcus said that he used 24% of ticket in batting cage.
Therefore Marcus is incorrect.
Answer:
1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
Step-by-step explanation:
For each employee, there are only two possible outcomes. Either they are absent, or they are not. The probability of an employee being absent is independent of other employees. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which
is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.
5% of the production employees at Midwest Auto Works are absent from work.
This means that 
What is the probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
This is P(X = 3) when n = 10.


1.05% probability of randomly selecting 10 production employees on a hot summer day and finding that three of them are absent
Function is a relation between sets that associates to every element of a first set exactly one element of the second set.
-Finding Input and Output Values of a Function.
-Evaluating Functions Expressed in Formulas.
-Evaluating a Function Given in Tabular Form.
-Finding Function Values from a Graph.