Question

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**

Answer #1

Normal distribution could be used to approximate the binomial
distribution under certain conditions. We already know the binomial
probability distribution formula, so why is it necessary to learn
this one? When is it useful to approximate the binomial
distribution as normal? Provide an example.

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...

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 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...

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.
nequals44, pequals0.4, and Xequals19 For nequals44, pequals0.4,
and Xequals19, use the binomial probability formula to find P(X).
nothing (Round to four decimal places as needed.) Can the normal
distribution be used to approximate this probability? A. No,
because StartRoot np left parenthesis 1 minus...

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=54 p=0.4 and x= 17
For
nequals=5454,
pequals=0.40.4,
and
Xequals=1717,
use the binomial probability formula to find P(X).
0.05010.0501
(Round to four decimal places as needed.)
Can the normal distribution be used to approximate this
probability?
A.
No, because StartRoot np left parenthesis 1...

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...

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...

Suppose we have a binomial experiment in which success is
defined to be a particular quality or attribute that interests
us.
(a) Suppose n = 35 and p = 0.17. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
_______ (Yes or No) , p̂ ________ (cannot or
can) be approximated by a normal random variable because ________
(np and nq do not exceed, or np does not exceed, or both 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 = 39 and p = 0.24. Can we
approximate p̂ by a normal distribution? Why? (Use 2
decimal places.)
np =
nq =
(YES or NO), p̂ (CANNOT or CAN) be approximated by a
normal random variable because .(NP exceeds, np does not exceed, nq
exceeds, nq does not exceed, np and nq do not exceed,...

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