(a)
the probability that a randomly selected student is male, given that the
student is a nursing major.
total nursing
Majors (male+female)--------98+741=839
<span>Total males nursing Majors ---------------------98</span>
P=98/839=0.1168=11.68%
(b) the
probability that a randomly selected student is a nursing major, given that
the student is male.
total nursing
Majors (male+female)--------98+741=839
<span>Total males --------------------------------------1151</span>
P=98/1151=0.0851=8.51%
Yes, they are. You can just cut off the end and use it like nothing happened! :)
The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5
<u>Given data :</u>
Mean value of gasoline per hour = 875 gallons
Standard deviation = 55 gallons
<h3>Determine the probability of demand being greater than 1800 gallons over 2 hours </h3>
Demand for gas in 1 hour = X₁
Demand for gas in 2 hours = X₁ + X₂
Therefore ; ( X₁ + X₂) ~ N ( u₁+u₂, sd₁² + sd₂² )
In order to calculate probabilities for normals apply the equation below
Z = ( X- u ) / sd
where : u = 1800, sd = √ ( 55² + 55² ) = 77.78
using the z-table
P( Y > 1800) = P( Z > ( 1800 - 1800 ) / 77.78)
= P( Z>0 ) = 0.5
Hence we can conclude that The probability that demand is greater than 1800 gallons over a 2 hour period is : 0.5.
Learn more about probability : brainly.com/question/24756209
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Answer: 7.24%
Explanation:
From the question, we are told that:
3 years treasury securities have an interest rate = 1.92%
10 years treasury security has an interest rate = 5.62%
Let the 7 year treasury security interest in 3 years be represented by z.
Based on the expectation theory
( 1+1.92%)^3 × (1 + z%)^7 = (1 + 5.62%)^10
(1+0.0192)^3 × (1 + z%)^7 = (1 + 0.0562)^10
(1.0192)^3 (1 + z%)^7 = (1.0562)^10
1.05871(1 + z%)^7 = 1.72767
Divide both side by 1.05871
(1 + z%)^7 = 1.72767/1.05871
(1 + z%)^7= 1.6319
1 + z% = 1.6319^1/7
1 + z% = 1.6319^0.1429
1 + z% = 1.0724
z% = 1.0724 - 1
z% = 0.0724
We then convert the decimal to percentage
z = 7.24%
The market believes that 7-year Treasury securities will be yielding 7.24% in 3 years .
