There are 16 cars and 64 passengers scheduled to go to a concert. Write a ratio in simplest form like compares the number of pas
1 answer:
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Answer:
a) Expected score on the exam is 12.8.
b) Variance 10.24, Standard deviation 3.2
Step-by-step explanation:
For each question, there are only two possible outcomes. Either you guesses the answer correctly, or you does not. The probability of guessing the answer of a question correctly is independent of other questions. So we use the binomial probability distribution to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
The expected value of the binomial distribution is:
The variance of the binomial distribution is:
The standard deviation of the binomial distribution is:
64 questions.
So
5 possible answers, one correctly, chosen at random:
So
(a) What is your expected score on the exam?
(b) Compute the variance and standard deviation of x. Variance =Standard deviation
Variance 10.24
Standard deviation 3.2
We can easily get the quarts per hour rate by dividing the number of quarts by the number of hours:
Now that we have the quarts per hour rate, we can easily address the question: the factory could make
quarts in 48 hours, with a daily rate of
quarts per day