Question

The probability that a single radar station will detect an enemy plane is 0.65.

(a) How many such stations are required to be 98% certain that
an enemy plane flying over will be detected by at least one
station?

stations

(b) If four stations are in use, what is the expected number of
stations that will detect an enemy plane? (Round your answer to one
decimal place.)

stations

Answer #1

(A) It is given that p = 0.65 (detecting the energy plane)

Probability of not detecting the enemy plane = 1 - p = 1-0.65 = 0.35

Probability that none of n stations to detect an energy plane =

So, P(detecting at least 1 energy plane) = 1 - P(detecting 0 energy plane)

= 1-

we want this probability to be 98% or 0.98

So, we can write

0.98 = 1 -

solving for n, we get

= 1-0.98

or = 0.02

this gives n = 3.73

rounding to nearest integer, we get n = 4 stations

**So, answer is 4 planes**

(B) Expected value = n*p

we have n = 4 and p = 0.65

this implies

Expected value = 4*0.65 = 2.6

There are 5 radar stations and the probability of a single radar
station detecting an enemy plane is 0.55. What is the probability
of 4 stations detecting an enemy plane? Round your answer to
nearest hundredth.
0.05
0.21
0.02
0.55
0.04

Military radar and missile detection systems are designed to
warn a country of an enemy attack. A reliability question is
whether a detection system will be able to identify an attack and
issue a warning. Assume that a particular detection system has a
0.89 probability of detecting a missile attack. Use the binomial
probability distribution to answer the following questions.
A) What is the probability that a single detection system will
detect an attack? (to two decimal)
B) If two...

Military radar and missile detection systems are designed to
warn a country of an enemy attack. A reliability question is
whether a detection system will be able to identify an attack and
issue a warning. Assume that a particular detection system has
a probability of .95 detecting a missile attack. Use the
binomial probability distribution to answer the following
questions.
a. What is the probability that a single
detection system will detect an attack?
(to 2 decimals)
b. If two detection...

Problem 3-13 (Algorithmic)
Military radar and missile detection systems are designed to
warn a country of enemy attacks. A reliability question deals with
the ability of the detection system to identify an attack and issue
the warning. Assume that a particular detection system has a 0.91
probability of detecting a missile attack. Answer the following
questions using the binomial probability distribution:
What is the probability that one detection system will detect
an attack? If required, round your answer to two...

PA 17-1 Mr. Cherry owns a gas station on a highway in Erlang
Loss Table m 6 1 2. 3 5 7 10 r= pla 0.0000 0.0000 0.0000 0.0000
0.0000 0.0000 0.0000 0.0000 0.0000 0.0000 Enter a value for 'r' in
the green cell above. Vermont station that would like to refuel.
However, since there are several other gas stations Mr. Ch with
similar prices on the highway, potential customers are not willing
to wait-if they see that all of...

A service station has both self-service and full-service
islands. On each island, there is a single regular unleaded pump
with two hoses. Let X denote the number of hoses being used on the
self-service island at a particular time, and let Y denote the
number of hoses on the full-service island in use at that time. The
joint pmf of X and Y appears in the accompanying tabulation. y p(x,
y) 0 1 2 x 0 0.10 0.03 0.01 1...

Brandon Lang is a creative entrepreneur who has developed a
novelty soap item called Jackpot to target consumers with a
gambling habit. Inside each bar of Jackpot shower soap is a single
rolled-up bill of U.S. currency. The currency (rolled up and sealed
in shrinkwrap) is appropriately inserted into the soap mixture
prior to the cutting and stamping procedure. The distribution of
paper currency (per 1000 bars of soap) is given in the following
table.
Distribution of Paper Currency Prizes...

1. A random number generator is used to select a number from 1
to
500 ?(inclusively).
What is the probability of selecting the number 595
?
What is the probability?
2.Identify the sample space of the probability experiment and
determine the number of outcomes in the sample space.
-Randomly choosing an even number between 10 and 20,
inclusive
The sample space is?
(Use a comma to separate answers)
There are _____ outcomes in the sample space
3. Determine the number...

Consider the probability distribution shown below.
x
0
1
2
P(x)
0.05
0.50
0.45
Compute the expected value of the distribution.
Consider a binomial experiment with
n = 7 trials
where the probability of success on a single trial is
p = 0.10.
(Round your answers to three decimal places.)
(a) Find
P(r = 0).
(b) Find
P(r ≥ 1)
by using the complement rule.
Compute the standard deviation of the distribution. (Round your
answer to four decimal places.)
A...

A.) For this problem, carry at least four digits after the
decimal in your calculations. Answers may vary slightly due to
rounding.
A random sample of medical files is used to estimate the proportion
p of all people who have blood type B.
(a) If you have no preliminary estimate for p, how many
medical files should you include in a random sample in order to be
85% sure that the point estimate p? will be within a
distance of...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 6 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 7 minutes ago

asked 8 minutes ago

asked 12 minutes ago

asked 20 minutes ago

asked 40 minutes ago

asked 47 minutes ago

asked 54 minutes ago

asked 1 hour ago