|2x-1|=2 find the value of x
1 answer:
You might be interested in
Answer:
(a) 0.9838 (b) 0.6553 (c) 13.05198
Step-by-step explanation:
We have that the daily viewing time is a random variable normally distributed with mean and standard deviation
= 8.35 hours and
= 2.5 hours
respectively. If we call the random variable X, the density function of this random variable is given by
f(x) = , and we can calculate the next probabilities using a computer or a table from a book.
(a) P(X>3)==0.9838
in the R statistical programming language we use the instruction pnorm(3, mean = 8.35, sd = 2.5, lower.tail = FALSE)
(b) P() =
= 0.6553
in the R statistical programming language we use the instruction
pnorm(10, mean = 8.35, sd = 2.5) - pnorm(5, mean = 8.35, sd = 2.5)
(c) You should find a value such that
, this value is
=13.05198
The instruction qnorm(0.03, mean = 8.35, sd = 2.5, lower.tail = FALSE) give us 13.05198 in the R statistical programming language.