Consider a binomial experiment with n = 20 and p = .70. If you calculate the binomial probabilities manually, make sure to carry at least 4 decimal digits in your calculations.
a) Compute f(12) (to 4 decimals).
b) Compute f(16) (to 4 decimals).
c) Compute P(x 16) (to 4 decimals).
d) Compute P(x 15) (to 4 decimals).
e) Compute E(x). 14
f) Compute Var(x) (to 1 decimal) and (to 2 decimals).
Var(x)
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Answers
Answer:
Step-by-step explanation:
Given that X is binomial n=20: p=0.70
a) Compute f(12) (to 4 decimals).
=
b) Compute f(16) (to 4 decimals).
=
c) Compute P(x <16) (to 4 decimals).
=
d) Compute P(x <15) (to 4 decimals).
=
e) Compute E(x). =np = 14
f) Compute Var(x) (to 1 decimal) and (to 2 decimals).
Var(x)=npq=4.2
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Answer:
1) Y-6=-3/2(X-0) 2) Y= -3/2x+6 3) 3x+2y=12
Step-by-step explanation:
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Question Continuation
if the measured weight of lead in the sample is
a.) 764.9g lead
b.)226.3g lead
c.) 53.5g lead
Answer:
a.
Relative Error = 0.065
b.
Relative Error = 0.221
c.
Relative Error = 0.935
Step-by-step explanation:
Given
Absolute Error = 0.5g
Relative error = absolute error/magnitude of measurement.
Relative error % = Relative error * 100
a.
Relative Error = 0.5/764.9 * 100
Relative Error = 50/764.9
Relative Error = 0.065
b.
Relative Error = 0.5/226.3 * 100
Relative Error = 50/226.3
Relative Error = 0.221
c.
Relative Error = 0.5/53.5 * 100
Relative Error = 50/53.5
Relative Error = 0.935
Final answer:
In Chemistry, the percent relative error is calculated by taking the absolute value of the error divided by the original measurement, and then multiplying by 100%. In this case, for a measured value of lead, the percent relative error would be (0.5 g / measured mass) * 100%.
Explanation:
The percent relative error in any measurement is calculated by taking the absolute value of the error divided by the measured value, all multiplied by 100% to get the result in percent forms. In this case, the absolute error is always 0.5 g (which means the values are consistently 0.5 g less than expected). The percent relative error would be calculated as follows:
- For a measured value, say M grams, the percent relative error would be (0.5 g / M) * 100%.
Keep in mind, the relative error varies with each measured mass. Therefore, for each different measured mass of lead, you would substitute that value in place of M in the above formula to calculate the respective percent relative error.
Learn more about percent relative error here:
#SPJ3
Required:
Construct a confidence interval for the proportion of water specimens that contain detectable levels of lead.
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Answer:
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Step-by-step explanation:
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Answer:
2. 17.624
3. 9.72
4. 14.3
5. 2.11
8. 5,105.16
10. 124.7
Step-by-step explanation:
Answer:
use a calculator.
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Answer:
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Step-by-step explanation:
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Answer:
x=8.75
Step-by-step explanation:
The price x that maximizes profit is the maximum value of the function, and the maximum value of the function is located at a point where the first derivative of the function is equal to zero. The first derivative is:
Using P'(x)=0:
The minimum value of the function is also at a point where the first derivative of the function is equal to zero. To differentiate if x=8. is a minimum or a maximum obtain the second derivative and evaluate it at x=8.75 if the value P''(x)>0 x is minimum and if P''(x)<0 x is a maximum.
Evaluating at x=8.75:
Therefore, x=8.75 is the maximum value of the function and it is the price that maximizes profit.