Question

Suppose an antibiotic has been shown to be 40% effective against common bacteria.

if the antibiotic is given to ten unrelated individuals with the bacteriaIf the antibiotic is given to five unrelated individuals with the bacteria, what is the probability that it will be effective at least three?

How do you get the answer below

For 5 unrelated individuals Now X -Bin(5,0.4) P(X>=3)=1-P(X<3)=1-(P(X=0)+P(X=1)+P(X=2))=0.31744

Answer #1

**Given:**

An antibiotic has been shown to be 40% effective against common bacteria.

**Calculation:**

Then,

The probability of success, p=40% = 40/100 = 0.4 The probability of failure, q= 1-p = 1 - 0.4 = 0.6

If the antibiotic is given to ten unrelated individuals with the bacterialf the antibiotic is given to five unrelated individuals with the bacteria.

Then, we have to find the probability that it will be effective at least three.

i.e, To find ,

But,

It is clear that, the given distribution is a binomial distribution with n=5, p=0.4 and q=0.6.

We know that, for a binomial distribution,

Then,

Hence,

**The probability that it will be effective at least three
is 0.31744.**

An experimental drug has been shown to be 70% effective in
eliminating symptoms of allergies in animal studies. A small human
study involving 9 participants is conducted. What is the
probability that the drug is effective on at least 5 of the
participants?
Individuals exhibiting a certain set of symptoms are screened
for a viral infection. Suppose that: (i) the screening test results
in a positive diagnosis for 75% of individuals who really do have
the infection; (ii) the screening...

1. Read the following excerpt from the Center for Disease
Control about Antibiotic resistance and explain why this is an
example of evolution by natural selection similar to the example
shown in your textbook in Figure 1.16. What trait is being selected
in this case?
"“Antibiotic resistance occurs when bacteria develop the
ability to defeat the drugs designed to kill them. When bacteria
become resistant, antibiotics cannot fight them, and the bacteria
multiply. Antibiotic resistance is one of the most...

A game is played in which you spin a 10-segment spinner as shown
above. All segments are the same size. Find the probabilities
below.
(a) Find the probability that you spin 4:
P(spin 4) = (round to one decimal place)
(b) Find the probability that you spin either 9 or 10:
P(spin 9 or 10) = (round to one decimal
place)
(c) X is a binomial random variable. Suppose we define spinning 9
or 10 as "success", and we decide...

Suppose that from a standard deck of cards you draw three cards
without replacement.
(a) Let X be the number of queens among your three cards. Complete
the probability distribution for X shown below.
X
0
1
2
3
P(X)
(b) What is the expected number of queens that you will draw?

A pathologist has been studying the frequency of bacterial
colonies within the field of a microscope using samples of throat
cultures from healthy adults. Long-term history indicates that
there is an average of 2.94 bacteria colonies per field. Let
r be a random variable that represents the number of
bacteria colonies per field. Let O represent the number of
observed bacteria colonies per field for throat cultures from
healthy adults. A random sample of 100 healthy adults gave the
following...

Suppose you are given the following (x, y)
data pairs.
x
1
2
6
y
4
3
9
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(b) Now suppose you are given these (x, y) data
pairs.
x
4
3
9
y
1
2
6
Find the least-squares equation for these data (rounded to three
digits after the decimal).
ŷ = + x
(c) In the data for parts (a) and (b), did we...

Suppose a sitcom is filmed on set between zero and five days per
week. The following table shows the probabilities of the sitcom
being filmed zero, one, two, three, four, or five days in a
week.
x P ( x )
0 = 0.11213
1 = 0.14558
2 = 0.16942
3 = 0.22547
4 = 0.15375
5 = 0.19365
The expected number of days the sitcom will be filmed in one
week, μ , is 2.74408. Use the formula below...

Suppose that Big Bucks Bank has the simplified balance sheet
shown below. The reserve ratio is 10 percent.
Instructions: Enter your answers as whole
numbers.
a. What is the maximum amount of new loans that Big Bucks Bank can
make? $.
Show in columns 1 and 1' how the bank's balance sheet will appear
after the bank has lent this additional amount.
Assets
Liabilities and net worth
(1)
(2)
(1' )
(2' )
Reserves
$26,000
$
$
Checkable...

Scores for a common standardized college aptitude test are
normally distributed with a mean of 510 and a standard deviation of
98. Randomly selected men are given a Test Preparation Course
before taking this test. Assume, for sake of argument, that the
preparation course has no effect.
If 1 of the men is randomly selected, find the probability that
his score is at least 588.4.
P(X > 588.4) =
If 9 of the men are randomly selected, find the probability...

Given the probability distributions shown to the right,
complete the following parts.
a. Compute the expected value for each distribution.
b. Compute the standard deviation for each distribution.
c. What is the probability that x will be at least 3 in
Distribution A and Distribution B?
d. Compare the results of distributions A and B.
Distribution A
Distribution B
x Subscript ixi
P(Xequals=x Subscript ixi)
x Subscript ixi
P(Xequals=x Subscript ixi)
0
0.030.03
0
0.490.49
1
0.080.08
1
0.230.23
2...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 5 minutes ago

asked 19 minutes ago

asked 22 minutes ago

asked 41 minutes ago

asked 42 minutes ago

asked 44 minutes ago

asked 49 minutes ago

asked 50 minutes ago

asked 52 minutes ago

asked 53 minutes ago

asked 54 minutes ago

asked 1 hour ago