Question

According to an airline, flights on a certain route are on time 75% of the time. Suppose 20 flights are randomly selected and the number of on-time flights is recorded.

**(a)** Explain why this is a binomial
experiment.

**(b)** Determine the values of n and p.

**(c)** Find and interpret the probability that
exactly 11 flights are on time.

**(d)** Find and interpret the probability that
fewer than 11 flights are on time.

**(e)** Find and interpret the probability that at
least 11 flights are on time.

**(f)** Find and interpret the probability that
between 9 and 11 flights, inclusive, are on time.

Answer #1

**(a)** Explain why this is a binomial
experiment.

probability of success is fixed = 0.75

and is independent of trials

**(b)** Determine the values of n and p.

n = 20 , p = 0.75

**(c)** Find and interpret the probability that
exactly 11 flights are on time.

P(X = k) = nCk p^k * (1- p)^(n-k)

P(X = 11) = 0.02706075

dbinom(11,20,0.75)

[1] 0.02706075

**(d)** Find and interpret the probability that
fewer than 11 flights are on time.

P(X < 11) = P(X<= 10) = 0.01386442

pbinom(10,20,0.75)

[1] 0.01386442

**(e)** Find and interpret the probability that at
least 11 flights are on time.

P(X >= 11) =1-P(X <=10)=1-0.01386442=0.9861356

**(f)** Find and interpret the probability that
between 9 and 11 flights, inclusive, are on time.

P(9<= X<= 11)

=0.03998978

pbinom(11,20,0.75)-pbinom(8,20,0.75)

[1] 0.03998978

According to an airline flights on a certain route are on time 85%
of the time. Suppose 15 flights are randomly selected and the
numbee of on time flights is recorded.
a) Explain why this is a binomial experiment.
b) Find and interpret the probability that exactly 11 flights
are on time.
c) Find and interpret the probability that fewer than 11
flights are on time.
d) Find and interpret the probability that at least 11 flights
are on time....

According to an airline, flights on a certain route are on time
80% of the time. Suppose 20 flights are randomly selected and the
number of on-time flights is recorded. (a) Explain why this is a
binomial experiment. (b) Find and interpret the probability that
exactly 12 flights are on time. (c) Find and interpret the
probability that fewer than 12 flights are on time. (d) Find and
interpret the probability that at least 12 flights are on time.
(e)...

According
to an? airline, flights on a
certain route are on time
8585?%
of
the time. Suppose
1010
flights
are randomly selected and the number of on time flights is
recorded. Use technology to find the probabilities. Use the Tech
Help button for further assistance.
?(a)
Determine
whether this is a binomial experiment.
?(b)
Find
and interpret the probability that exactly
88
flights
are on time.
?(c)
Find
and interpret the probability that at least
88
flights
are on time....

According to an? airline, flights on a certain route are on time
90?% of the time. Suppose 99
flights are randomly selected and the number of on time flights
is recorded. Use technology to find the probabilities. Use the Tech
Help button for further assistance.
?(a) Determine whether this is a binomial
experiment.
?(b) Find and interpret the probability that
exactly 77 flights are on time.
?(c) Find and interpret the probability that at
least 77 flights are on time....

According to an airline, flights on a certain route are on
time
8585%
of the time. Suppose
88
flights are randomly selected and the number of on time flights
is recorded. Use technology to find the probabilities. Use the Tech
Help button for further assistance.
(a) Determine whether this is a binomial experiment.
(b) Find and interpret the probability that exactly
66
flights are on time.
(c) Find and interpret the probability that at least
66
flights are on time....

According to an? airline, flights on a certain route are on time
75?%of the time. Suppose 24 flights are randomly selected and the
number of? on-time flights is recorded.
?(a) Explain why this is a binomial
experiment.
?(b) Find and interpret the probability that
exactly 14 flights are on time.
?(c) Find and interpret the probability that
fewer than 14 flights are on time.
?(d) Find and interpret the probability that at
least 14 flights are on time.
?(e) Find...

According to an airline, flights on a certain route are on time
85 % of the time. Suppose 15 flights are randomly selected and the
number of on-time flights is recorded.
a) Explain why this is a binomial
experiment.
(b) Find and interpret the probability that
exactly 11 flights are on time.
(c) Find and interpret the probability that
fewer than 11 flights are on time.
(d) Find and interpret the probability that at
least 11 flights are on time....

1, According to an airline, flights on a certain route are on
time 75% of the time. Suppose 10
flights are randomly selected and the number of on-time flights
is recorded.
(a) Explain why this is a binomial experiment.
(b) Find and interpret the probability that exactly 6 flights
are on time.
(c) Find and interpret the probability that fewer than 6
flights are on time.
(d) Find and interpret the probability that at least 6 flights
are on time....

I am not sure what I am not grasping. I can calculate
the exact number but not fewer than or at least.
the question I am working on is "According to an airline, flights
on a certain route are on time 75% of the time. Suppose 20 flights
are randomly selected and the number of on-time flights is
recorded.
(c) is find the probability that exactly 13 lights are on
time.
I found this to be 0.1124 rounded to 4...

A certain flight arrives on time 81 percent of the time. Suppose
122 flights are randomly selected. Use the normal approximation to
the binomial to approximate the probability that
(a) exactly 110 flights are on time.
(b) at least 110 flights are on time.
(c) fewer than 110 flights are on time.
(d) between 110 and 111, inclusive are on time.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 2 minutes ago

asked 4 minutes ago

asked 5 minutes ago

asked 5 minutes ago

asked 20 minutes ago

asked 29 minutes ago

asked 31 minutes ago

asked 31 minutes ago

asked 34 minutes ago

asked 39 minutes ago

asked 48 minutes ago

asked 52 minutes ago