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A fast-food restaurant has determined that the chance a customer will order a soft drink is 0.90. The proba- bility that a custo

azamat

Answer:

(a) The probability that the order will include a soft drink and no fries is 0.45.

(b) The probability that the order will include a hamburger and fries is 0.48.

Explanation:

Let the events be denoted as follows:

S = an order of soft drink

H = an order of hamburger

F = an order of french fries.

Given:

P (S) = 0.90

P (H) = 0.60

P (F) = 0.50

(a)

It is provided that the event of ordering a soft drink and fries are independent.

If events A and B are independent then the probability of event (A ∩ B) is:

$P(A\cap B)=P(A)\times P(B)$

Compute the probability that the order will include a soft drink and no fries as follows:

$P(S\cap \bar F)=P(S)\times P(\bar F)\\=P(S)\times[1-P(F)]\\=0.90\times (1-0.50)\\=0.45$

Thus, the probability that the order will include a soft drink and no fries is 0.45.

(b)

It is provided that the conditional probability that a customer will order fries given that he/she has already ordered a hamburger as, P (F|H) = 0.80.

The conditional probability of an event B given another event A has already occurred is:

$P(B|A)=\frac{P(A\cap B}{P(A)}$

Compute the probability that the order will include a hamburger and fries as follows:

$P(F|H)=\frac{P(H\cap F)}{P(H)}\\P(H\cap F)=P(F|H)\times P(H)\\=0.80\times 0.60\\=0.48$

Thus, the probability that the order will include a hamburger and fries is 0.48.

6 0

3 years ago

How are technology and technical profession related ? use example to write answer<br>

dlinn [17]

Answer:

Technician and technologist are two different terms. However, these two terms are interrelated. ... A technician has a good knowledge of the general principles of the field he is in, whereas, a technologist is a person who is completely aware of various technologies. A technician works under a technologist.

8 0

2 years ago

Read 2 more answers

If real GDP is $500 billion, full employment GDP is $300 billion, and the marginal propensity to consume is 0.9, then Congress s

melomori [17]

Answer:

tax increased = $22.22 billion

so correct option is 3. increase taxes by $22.22 billion.

Explanation:

given data

real GDP = $500 billion

employment GDP = $300 billion

marginal propensity = 0.9

solution

we know here that Inflationary gap will be

Inflationary gap = Real GDP - Full-employment GDP

Inflationary gap = $(500 - 300) billion

Inflationary gap = $200 billion

and tax Multiplier is

Tax Multiplier = $\frac{- marginal propensity}{1 - 0.9}$

Tax Multiplier = -9

here negative sign means that decrease real GDP by $9

so tax should be increased by $1

so we can say that decrease real GDP by $200 billion

and tax should be increased = $\frac{200 billion}{9}$

tax increased = $22.22 billion

so correct option is 3. increase taxes by $22.22 billion.

3 0

3 years ago

"Since transfer payments by government are not associated with the production of goods and services, they are not included in G

rosijanka [135]

Answer:

true

Explanation:

The transfer payment comprises of both a donor as well as a receiver, with the sender giving up something that is of worth and receiving anything in return, unlike the swap agreement that equally benefits all the parties concerned.

Transfer payments cover Social Security, Medicaid, unemployment compensation, social programs and assistance. They should not be added in GDP, as they are not payments for goods or services, but rather ways to distribute money for social purposes.

8 0

3 years ago

Read 2 more answers

Stein Co. issued 17-year bonds two years ago at a coupon rate of 9.1 percent. The bonds make semiannual payments. If these bonds

Marizza181 [45]

Answer:

YTM is 7.43%

Explanation:

The yield to maturity of a bond can be computed using the rate formula in excel,which is given below:

=rate(nper,pmt,-pv,fv)

the nper is the number of coupon interest the bond would pay before it is redeemed at maturity starting from ,which is 15 years multiplied by 2=30

the pmt is the semiannual coupon payable by the bond,which is $1000*9.1%/2=$45.5

the pv is the price of the bond which is 115%*$1000=$1150

the fv is the face value of the bond at $1000

=rate(30,45.5,-1150,1000)=3.715%

The rate of 3.715% is a semi annual rate

annual rate 7.43%(3.715%*2)

6 0

3 years ago