Answer:
(a) S = {0, 1, 2, ..., 10}
(b) 0.256
Step-by-step explanation:
It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.
(a)
<em>X</em> = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.
<em>X</em> follows a binomial distribution.
The sample space of <em>X</em> is:
S = {0, 1, 2, ..., 10}
(b)
Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:


Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.
Area of a triangle is 1/2 x base x height:
Area = 1/2 x 8 x 20.5 = 82 square cm.
It is hone-half the area of a rectangle with dimensions 20.5 by 8 cm.
Answer: 0.28
Step-by-step explanation:
Binomial probability formula :
, where x = Number of success , n= sample size , p= probability of success for each trial.
Let x = Number of hens lay eggs.
then, p= 0.80
n= 12
For x=10

Hence, the required probability = 0.28
the justifying property is commutative property.