Below is a table showing the different sales prices of a bicycle that Juan wants to purchase. Juan wants to get the best deal. W
hich store offers the bike at the lowest price after the discount?
Pls show your work as you find the price of the bike at each store.
Pls show your work as you find the price of the bike at each store.
1 answer:
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Answer:
A university found that 30% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course.
a. Compute the probability that 2 or fewer will withdraw (to 4 decimals).
= 0.0355
b. Compute the probability that exactly 4 will withdraw (to 4 decimals).
= 0.1304
c. Compute the probability that more than 3 will withdraw (to 4 decimals).
= 0.8929
d. Compute the expected number of withdrawals.
= 6
Step-by-step explanation:
This is a binomial problem and the formula for binomial is:
a) Compute the probability that 2 or fewer will withdraw
First we need to determine, given 2 students from the 20. Which is the probability of those 2 to withdraw and all others to complete the course. This is given by:
Finally, the probability that 2 or fewer students will withdraw is
b) Compute the probability that exactly 4 will withdraw.
c) Compute the probability that more than 3 will withdraw
First we will compute the probability that exactly 3 students withdraw, which is given by
Then, using a) we have that the probability that 3 or fewer students withdraw is 0.0355+0.0716=0.1071. Therefore the probability that more than 3 will withdraw is 1 - 0.1071=0.8929
d) Compute the expected number of withdrawals.
E(X) = 3/10 * 20 = 6
Expected number of withdrawals is the 30% of 20 which is 6.