Set number 1, 2, 3, and 4 or (a,b,c,d) is a function
EXPLANATION:
in a function you can’t have two of the same x values.
hope this helped :)
Part a)
It was given that 3% of patients gained weight as a side effect.
This means


The mean is


The standard deviation is



We want to find the probability that exactly 24 patients will gain weight as side effect.
P(X=24)
We apply the Continuity Correction Factor(CCF)
P(24-0.5<X<24+0.5)=P(23.5<X<24.5)
We convert to z-scores.

Part b) We want to find the probability that 24 or fewer patients will gain weight as a side effect.
P(X≤24)
We apply the continuity correction factor to get;
P(X<24+0.5)=P(X<24.5)
We convert to z-scores to get:

Part c)
We want to find the probability that
11 or more patients will gain weight as a side effect.
P(X≥11)
Apply correction factor to get:
P(X>11-0.5)=P(X>10.5)
We convert to z-scores:


Part d)
We want to find the probability that:
between 24 and 28, inclusive, will gain weight as a side effect.
P(24≤X≤28)=
P(23.5≤X≤28.5)
Convert to z-scores:

Answer:
The mode for the colors that Santino wore recently is Blue.
Step-by-step explanation:
The mode of a data set is the term or observation that presents most of the time.
The frequency table of different colored polo shirts worn by Santino is:
Color Frequency
Yellow 2
Blue 3
Green 1
Pink 1
Brown 1
Orange 1
Chartreuse 1
Black 1
Puce 1
The color Blue has the highest frequency, i.e. 3.
So, the mode for the colors that Santino wore recently is Blue.