Let x be a continuous random variable
that is normally distributed with a mean of 65 and a standard
deviation of 15. Find the probability that
x assumes a value:
less than 48
greater than 87
between 56 and 70
Determine whether the value is a discrete random variable,
continuous random variable, or not a random variable.
a. The number of bald eagles in a countrynumber
of bald eagles in a country
b. The number of points scored during a
basketball gamenumber of points scored during a basketball game
c. The response to the survey question "Did you
smoke in the last week question mark "response to the survey
question "Did you smoke in the last week?"
d. The number...
for a
continuous random variable x, the population mean and the
population standard deviation are 54 and 12 respectively. you
extract a sample of 36 elements from this population. the mean of
the sampling distribution of the sample mean is:
Let X be a continuous random variable following normal
distribution with mean value of: (a is 1) and standard deviation of
b is 1/10 ,
What is the mode of X? (1 mark)
What is median of X? (1 mark)
What is ?(? > ?)? (1mark)
What is ?(? − ? < ? < ? + ?)? (1 mark)
What is ?(? − 1.96? < ? < ? + 1.96?))? (1mark)
Let X be a continuous random variable following normal
distribution with mean value of: (a is the last digit of your
student number) and standard deviation of b (b is the last digit of
your student number divided by 10), a=9 b=9/10
What is the mode of X?
What is median of X?
What is P(X>a)?
What is P(a-b<X<a+b)?
What is P(a-1.96b<X<a+1.96b)?
A. Let x be a continuous random variable that is normally
distributed with mean μ=24 and standard deviation σ=4. Use a
graphing calculator to find P(20≤x≤33). The probability is? (Round
to 4 decimal places)
B. Let x be a continuous random variable that is normally
distributed with mean μ=27 and standard deviation σ=4. Use a
graphing calculator to find P(19≤x≤35). The probability is? (Round
to 4 decimal places)
C. Let x be a continuous random variable that is normally
distributed...
1) Let x be a continuous random variable that
follows a normal distribution with a mean of 321 and a standard
deviation of 41.
(a) Find the value of x > 321 so
that the area under the normal curve from 321 to x is 0.2224.
Round your answer to the nearest integer.
The value of x is_______
(b) Find the value of x so that the area under
the normal curve to the right of x is 0.3745.
Round...
a) Give a description of how you find the 43rd percentile of a
continuous random variable, given the PDF.
b) If I want to consider the 54th percentile, what is the value
of alpha?
Show that the conclusion of the mean-square law of large
numbers, remains
valid if the assumption that the Xi are independent is replaced by
the weaker assumption that they are
uncorrelated.