On average, the running timeo of children's movies follow normal distribution with meano 195 minutes, with a
standard deviation of minutes You check out children's movie from RedBox, randomly choser without
reading the running time the description, keep you kids entertained you canstudy Assume
children will keep focused nthe movie, for the entire length of the movie
a) Whati the probability that the movie you chose will run for at least the Shours you need tr
What is the probability that the movie will run between 7 minutes minutes?
Given that the movie runs more than 104 minutes, what the probability that it run
Find the probability that the randomly thosen movie will exacti one hour
What movie length times for the middle 40% children's movies?
f) USING ONLY THE EMPIRICA RULES: find the probability that movie runs between 83 and 119 minutes.
Purdue's undergraduate admission rate 57% (This means that 57% students who apply Purdue for
indergraduate studies are offered admission.) Suppose that Purdue has 48,000 undergraduate student
a) Let (bethe number ofundergraduate students that for 2017-18 What the
distribution parameter(s) and support of
probability the formula you would use (but DO NOT SOLVE)
c) Isthere method bi? State your reasoning (with values
Usethat method find the between 26,000 and 28,000 inclusive)
IFa student gets admitted there
size of the class enterin Purdue inFall 2017?
3. Using Figures and below answer the following
4. Consumer Reports conducted extensive test on various nds/models elliptical trainers. The overall rating
listed nthe table below based use, ergonomics, construction, and exercise range.
Keys Fitness CG2
LifeFitness X1 Basic
Nordio Track Audio Strider 990
Octane Fitness Q37e
Vision Fitness X6100
Draw catterplot summarizing this data.
Calculate mean of Price and the mean FRating
What the variance of price?
What the standard deviation o Rating?
Calculate the covariance between price and Rating
Hown of the variationin the Rating explained by the linear relationship with Price?
h) Would the slope ofa regression line for Price and Rating tobe positive negative horizontal? Explain your
5. Ostudents took part ina spelling bee and their scores are listed inthe table below
Spelling Bee Scores
Construct Stem and-Leaf plot of the data
Determine the -Number summary Ethe above data
What is the 73rd 'percentile Fthe above data?
What is the Inter-Quartile Range DOR) Fthe data?
e) Identify any outliers inthe data set. Show how you determined this with calculations.
Construct Modified Box Plotof the above data.
6. efollowing table shows thedata takenfrom apolltat asked for marital status and aee category ofrespondents.
Answer the questions below
Age Category under
45 to 54
What percent of those polled were divorced andir category? Is this ajoint conditional
What percent were age 34 or younger? Isthisajoint conditional, marginal probability?
c) those whowere single/never married, what percent were 45 or older? Is this: joint, conditional
What percent were separ atedor divorced? Isthis joint, margina probability?
What the expected count of those
Writeout the null for Besure towrite these
What arethe degrees for Chi -Square
h) Using aloha= 0.01 what isthe critical value?
of this test
in the context of the problem.
(x) and the
a) Whati the slope the regression line? What does this
Whati the predicted predicted elling price for a
What is correlation weak
The actual selling price the residual for thi car
- years, how
How much ofvariation the explained bythe linear relationship
Givent the following scenario. identify the appropriate
Wewant to understand the distribution of the returns of the 3,580stocks listedonthe NYSE.
We want understand nelectricity usage from 1965 o 2015.
We want to
For the following
or not at all.
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