Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value T is a random variable with the following probability density: c ti € [5, 10] dollars с t € [35, 40] dollars. otherwise 0 Let's assume Te's are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the Lot bo looted from thooo 150 friendo You p(Ti = ts) : = in de

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Statistics CS

Suppose student Ana is running for a charity and asks her friend to
chip in the donation. Suppose each friend donates independently, and the donated
value T is a random variable with the following probability density:
te [5, 10] dollars
C
t€ [35, 40] dollars.
0
otherwise
Let's assume It's are mutually independent and each donation is a continuous random
variable given they're using electronic transfer. Ana requested from 150 friends for the
donation. Let X be the total amount in dollar Ana collected from these 150 friends. You
need to simplify for this problem.
p(T} = t₁) :
=
Transcribed Image Text:Suppose student Ana is running for a charity and asks her friend to chip in the donation. Suppose each friend donates independently, and the donated value T is a random variable with the following probability density: te [5, 10] dollars C t€ [35, 40] dollars. 0 otherwise Let's assume It's are mutually independent and each donation is a continuous random variable given they're using electronic transfer. Ana requested from 150 friends for the donation. Let X be the total amount in dollar Ana collected from these 150 friends. You need to simplify for this problem. p(T} = t₁) : =
For the remaining subquestions, assume T follows a normal distribution instead with
mean of 10 and variance of 28.
What is the probability that is more than 1519? Assume is a normal
distributed random variable. Use the given CDF table to solve.
P(X> 1519) =
number (2 significant figures)
?
Which row and column (assuming 1-indexed, the title row, title column
and empty rows do not count and round down/truncate in the given CDF table can be
used to calculate the probability above? Eg for rounding if you get a z score of 0.519
you should round up to.52 and if you get ,514 you should round down to 0.51)
row integer
?
column
integer
?
Transcribed Image Text:For the remaining subquestions, assume T follows a normal distribution instead with mean of 10 and variance of 28. What is the probability that is more than 1519? Assume is a normal distributed random variable. Use the given CDF table to solve. P(X> 1519) = number (2 significant figures) ? Which row and column (assuming 1-indexed, the title row, title column and empty rows do not count and round down/truncate in the given CDF table can be used to calculate the probability above? Eg for rounding if you get a z score of 0.519 you should round up to.52 and if you get ,514 you should round down to 0.51) row integer ? column integer ?
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