Search & Filtering
A survey was conducted of 140 buyers of new BMW 3-series cars, 140 buyers of new BMW 5-series cars, and 140 buyers of new BMW 7-series cars. In it, the buyers were asked the age they were when they purchased the car. The box plots below display the results
In Statistics and Probability 50-item test of Grade 11 ABM E the mean of their scores is 37 and a standard deviation of 8.
a. Find the lowest score of the upper 20% of the distribution (80th Percentile)
b. What is the highest score of the 35th Percentile (lower 35% of the distribution)?
A restaurant has decided to hang a decorative string light consisting of 50 bulbs. Suppose that in any given month, any one bulb fails with a probability of 0.1, independently of one another.
(b) How many bulbs are expected to fail in one month given there will be at least 5 failures?
(c) For a given bulb on the string, what is the probability it will last longer than 36 months?
(d) Suppose at the end of each month, the restaurant replaces all failed bulbs with new ones. What is the probability that all original 50 bulbs on the string will get replaced within the first 36 months of use?
Given the joint density function
f(x,y) = {6-x-y / 8 ; 0<x<2, 2<y<4,
{0, elsewhere,
find P(1<Y<3 | X=1).
Scores of an achievement test show that it follows a normal distribution. Its mean is 78 with a standard deviation of 8. Find the interval wherein the middle 80% of the score lie.
For a normally distributed random variable, the standard deviation is 3.7. What is the mean if 10% of the distribution is less than 31?
Mia took a survey of students in her class to find put how many hours they spend reading each week. Here are some summary statistics for the data that mia gathered. Mean: 8.5 hours, median: 7 hours, standard deviation: 5.3 hours, Q1: 5 hours, Q3: 11 hours.
Give an example of a number of hours larger than the median which would be an outlier. Explain your reasoning.
New car that is a gas and electric powered highbred has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 50 miles in the standard deviation of 8 miles. Find the probability of the following events.
A. The car travels more than 55 miles per gallon
B. The car travels less than 47 miles per gallon
C. The car travels between 47 and 58 miles per gallon
A sample of n=18 observations is drawn from a normal population with mean=960 and standard deviation= 220. Find each of the following:
A. P(X>1037)
B. P(C<877)
C. P(X>934)
