Rework problem 17 from section 4.1 of your text about a multiple-choice test in which each question has 4 choices only one of wh
1 answer:
Answer:
probability that exactly 4 out of 9 questions are correct is 0.111
Step-by-step explanation:
Given data:
Test consist of multiple choice question which as 4 choices
Total number of answer randomly = 9
Probability of having 4 answer correctly is calculated as
p = probability of having particular question is answered in correct way
= 1/4 = 0.25
q = probability of having particular question is answered incorrectly
= 3/4 = 0.75
Binomial expansion is beneficial in various situations at which numerical variables are present that are countable or whole numbers
probability that exactly 4 out of 9 questions are correct
= 0.111
You might be interested in
Answer:
The probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.
Step-by-step explanation:
We have 10 possible outcomes on a single throw.
So, outcomes in 3 throws = outcomes.
Let x be the number of strictly increasing arrangements.
Let y be the number of strictly decreasing arrangements.
Let z be the number of outcomes that are neither strictly decreasing nor strictly increasing
So, we have
If we look at a strictly increasing arrangement from the other/opposite side, it will look like a strictly decreasing arrangement.
So, x = y
Hence, we can say the final equation will be :
And for strictly increasing arrangements ,all 3 numbers will be different and it can be done in 10C3 ways.
10C3= = 120 ways
So,
Thus
So, the probability is =
Therefore, the probability of obtaining a sequence which is neither strictly increasing nor decreasing in 0.76.