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
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.