Alison and Justins father donated $3 every lap they swam in a swim-a-thon.Alison swam 21 laps and justin swam 15 laps.Use the di
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Answer:
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Step-by-step explanation:
We know that 27 of the 193 males in the sample smoke while 16 of the 169 females in the sample smoke.
We have the following proportion:
So we get that 13.9% of men smoke.
We have the following proportion:
So we get that 9.5% of women smoke.
We get: 13.9%-9.5%=4.4%.
So, we conclude that the best estimate for the difference in the proportion of smokers is 4.4%.
Answer:
1)
the mean rate of return is 17 %
the standard deviation of return is 17.06055
2)
the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325
Step-by-step explanation:
Given the data in the question;
1)
For the portfolio, the mean return and standard deviation are computed as follows;
Mean = Return = 0.65 × 10 + 0.35 × 30
= 6.5 + 10.5
= 17 %
Therefore, the mean rate of return is 17 %
Standard deviation will be;
σp = √( 0.65² × 15² + 0.35² × 40² )
= √( 0.4225 × 225 + 0.1225 × 1600 )
= √( 95.0625 + 196 )
= √291.0625
= 17.06055
Therefore, the standard deviation of return is 17.06055
2)
probability that Marvin's portfolio will make at least 20% over the next 12 months.
P( X > 20 )
we convert to a standard normal variable;
Z = )
Z = 0.17
from z table, p-value is;
p( X < 20 ) = 0.5675
P( X > 20 ) 1 - 0.5675 = 0.4325
Therefore, the probability that Marvin's portfolio will make at least 20% over the next 12 months is 0.4325
64 inches = 1 yards
using the conversion : 1 yard = 36 inches
divide 64 by 36 to convert to yards
= ← ( divide numerator/denominator by 4 )
=
= 1
given as a mixed number in simplest form