Question

Use the appropriate normal distribution to approximate the resulting binomial distribution. The manager of Madison Finance Company has estimated that, because of a recession year, 5% of its 600 loan accounts will be delinquent.

If the manager's estimate is correct, what is the probability that 36 or more of the accounts will be delinquent? (Round your answer to four decimal places.)

Answer #1

Use the appropriate normal distribution to approximate the
resulting binomial distribution.
The manager of Madison Finance Company has estimated that, because
of a recession year, 6% of its 300 loan accounts will be
delinquent. If the manager's estimate is correct, what is the
probability that 23 or more of the accounts will be delinquent?
ROUND YOUR ANSWER TO FOUR DECIMAL PLACES

Use the appropriate normal distribution to approximate the
resulting binomial distribution.
A basketball player has a 75% chance of making a free throw.
(Assume that the throws are independent of each other.) What is the
probability of her making 100 or more free throws in 112 trials?
(Round your answer to four decimal places.)
You may need to use the appropriate table in the Appendix of Tables
to answer this question.

Use the appropriate normal distribution to approximate the
resulting binomial distribution.
A marksman's chance of hitting a target with each of his shots
is 65%. (Assume the shots are independent of each other.) If he
fires 40 shots, what is the probability of his hitting the target
in each of the following situations? (Round your answers to four
decimal places.)
(a) at least 29 times
(b) fewer than 21 times
(c) between 23 and 29 times, inclusive
You may need...

Use the appropriate normal distribution to approximate the
resulting binomial distributions. A convenience store owner claims
that 55% of the people buying from her store, on a certain day of
the week, buy coffee during their visit. A random sample of 35
customers is made. If the store owner's claim is correct, what is
the probability that fewer than 20 customers in the sample buy
coffee during their visit on that certain day of the week?
a) 0.5675
b) 0.5319...

Use the appropriate normal distribution to approximate the
resulting binomial distributions. A convenience store owner claims
that 55% of the people buying from her store, on a certain day of
the week, buy coffee during their visit. A random sample of 35
customers is made. If the store owner's claim is correct, what is
the probability that fewer than 22 customers in the sample buy
coffee during their visit on that certain day of the week?
a) 0.7967
b) 0.7764...

Use the appropriate normal distribution to approximate the
resulting binomial distributions. A convenience store owner claims
that 55% of the people buying from her store, on a certain day of
the week, buy coffee during their visit. A random sample of 35
customers is made. If the store owner's claim is correct, what is
the probability that fewer than 20 customers in the sample buy
coffee during their visit on that certain day of the week?
a) 0.4681
b) 0.6293...

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 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...

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

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