The lengths of the sides of a triangle are in the extended ratio 5 : 7 : 10. The perimeter of the triangle is 88cm. What are t
2 answers:
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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.
Answer:
Speedy Taxis
Step-by-step explanation:
I solved this by using a graphing calculator. Speedy Taxis shows the least cost for x=30.
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You can figure the cost of each for x=30
1.5(30) = 45
1.1(30)+11.5 = 33+11.5 = 44.5 . . . . . lowest cost
1.25(30)+8 = 37.5+8 = 45.5
Speedy Taxis is the cheapest for a trip of 30 miles.
