Question

A binomial experiment is given. Decide whether you can use the
normal distribution to approximate the binomial distribution. If
you can, find the mean and standard deviation. If you cannot,
explain why.

A survey found that 83% of parents of teenagers have taken their
teenager's cell phone or Internet privileges away as a punishment.
You randomly select 19 parents of teenagers and ask them whether
they have taken their teenager's cell phone or Internet privileges
away as a punishment.

Select the correct answer below and, if necessary, fill in the
answer boxes to complete your choice.

A.) Yes the mean is ____ and the standard deviation is _____

B.) No because nq<5

C.) No because np<5

Answer #1

given that, 83% of parents of teenagers have taken their teenagers cell phone or internet privileges away as a punishment.

i.e. p=0.83 and given n=19 we have given binomial distribution with (n=19,p=0.83) ,q=1-p=1-0.83 =0.17

we have np= 15.77 and nq= 3.23

we know that , the binomial distribution can be approximated to normal distribution if np and nq are both at least 5.

but here nq is less than 5. hence the binomial distribution cannot be approximated to normal distribution .

correct option is:

B.) No, because nq<5

A binomial experiment is given. Decide whether you can use the
normal distribution to approximate the binomial distribution. If
you can, find the mean and standard deviation. If you cannot,
explain why. A survey of adults found that 41 % have used a
multivitamin in the past 12 months. You randomly select 40 adults
and ask them if they have used a multivitamin in the past 12
months.

Decide whether you can use the normal distribution to
approximate the binomial distribution. If you can, use the normal
distribution to approximate the indicated probabilities and sketch
their graphs. If you cannot, explain why and use the binomial
distribution to find the indicated probabilities. A survey of
adults found that 79% of those who text on cell phones receive
spam or unwanted messages. You randomly select 100 adults who text
on cell phones. Complete parts (a) through (d).
Determine whether...

Decide whether you can use the normal distribution to
approximate the binomial distribution. If you can, use the normal
distribution to approximate the indicated probabilities and sketch
their graphs. If you cannot, explain why and use the binomial
distribution to find the indicated probabilities.
A survey of adults found that 56% of those who text on cell
phones receive spam or unwanted messages. You randomly select 100
adults who text on cell phones.
a-Find the probability that the number of...

Decide whether you can use the normal distribution to
approximate the binomials distribution. If you can, use the normal
distribution to approximate the indicated probabilities and sketch
their graphs. If you cannot, explain why and use the binomial
distribution to find the indicated probabilities.
A surgery of adults found that 74% of those who text on cell
phones receive spam or unwanted messages. You randomly select 100
adults who text on cell phones. Complete parts (a) through (d).
Determine whether...

np, nq formula
A) Explain when you can use normal distribution to approximate
the binomial distribution
B) If we already know the binomial probability distribution
formula, why do we need to know this one?
C)When is it useful to approximate the binomial distribution as
normal. Provide 1 example

Compute P(X) using the binomial probability formula. Then
determine whether the normal distribution can be used to estimate
this probability. If so, approximate P(X) using the normal
distribution and compare the result with the exact probability.
n=6060, p=0.20.2, X=25
Can the normal distribution be used to approximate this
probability?
A. Yes, the normal distribution can be used because np(1−p) ≥
10.
B. No, the normal distribution cannot be used because np(1−p)
< 10.
C. No, the normal distribution cannot be...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 39 and p = 0.27. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
---Select--- Yes No
, p̂ ---Select--- can cannot be
approximated by a normal random variable
because ---Select--- both np and nq exceed nq does not
exceed np and nq do not exceed np exceeds np does...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 30 and p = 0.38. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
---Select--- Yes No , p̂ ---Select--- can
cannot be approximated by a normal random variable
because ---Select--- nq does not exceed nq exceeds both
np and nq exceed np exceeds np and nq do not...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 43 and p = 0.13. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
---Select--- Yes No
, p̂ ---Select--- can cannot be
approximated by a normal random variable
because ---Select--- both np and nq exceed np does not
exceed nq exceeds nq does not exceed np exceeds np and...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 30 and p = 0.18. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
---Select--- Yes No , p̂ ---Select--- cannot
can be approximated by a normal random variable
because ---Select--- nq does not exceed np does not
exceed both np and nq exceed nq exceeds np exceeds np...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 8 minutes ago

asked 18 minutes ago

asked 29 minutes ago

asked 34 minutes ago

asked 39 minutes ago

asked 39 minutes ago

asked 45 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago