What is the absolute value of |x-3|=2
1 answer:
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Answer:
The expected cost of the company for a 3000 tires batch is $120255
Step-by-step explanation:
Recall that given a probability of defective tires p, we can model the number of defective tires as a binomial random variable. For 3000 tires, if we have a probability p of having a defective tire, the expected number of defective tires is 3000p.
Let X be the number of defective tires. We can use the total expectation theorem, as follows: if there are events that partition the whole sample space, and we have a random variable X over the sample space, then
.
So, in this case, we have the following
.
Let Y be the number non defective tires. then X+Y = 3000. So Y = 3000-X. Then E(Y) = 3000-E(X). Then, E(Y) = 2949.
Finally, note that the cost of the batch would be 40Y+45X. Then
Using the binomial distribution, it is found that the number of students that would be expected to select a gold-wrapped candy from the bag is given by:
- B. 5 students
The candies are chosen with replacement, which means that for each student, the probability of choosing a gold wrapped candy is independent of any other student, hence the binomial distribution is used.
<h3>What is the binomial distribution?</h3>- The <em>binomial distribution</em> is the <u>probability of exactly x successes on n repeated trials, with p probability of a success on each trial</u>.
The expected value of the binomial distribution is:
In this problem:
- There are 15 students, hence
.
- Of a totlal of 5 + 1 + 2 + 4 = 12 candies, 4 are gold wrapped, hence
Then, the <em>expected value</em> is:
Hence, option B is correct.
To learn more about the binomial distribution, you can take a look at brainly.com/question/24863377