Answer:
0.2706 ; 0.05265 ; 0.1353
Explanation:
Given that :
λ = 2
According to the poisson distribution formula :
P(x = x) = (λ^x * e^-λ) / x!
P(x = 1) = (2^1 *e^-2) / 1!
P(x = 1) = (2 * 0.1353352) = 0.2706
P(x ≥ 5) = 1 - P(x < 5)
1 - P(x < 5) = 1 - [p(x = 0) + p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4)]
We obtain and add the individual probabilities. To save computation time, we can use a poisson distribution calculator :
1 - P(x < 5) = 1 - (0.13534+0.27067+0.27067+0.18045+0.09022)
1 - P(x < 5) = 1 - 0.94735 = 0.05265
P(x ≥ 5) = 1 - P(x < 5) = 0.05265
Probability that no emails was received :
x = 0
P(x = 0) = (2^0 *e^-2) / 0!
P(x = 0) = (1 * 0.1353352) / 1 = 0.1353
Pension plans are a type of retirement plan in which the employee and employer make contributions. These contributions are invested and to be received upon retirement. In most all cases pension plans are tax exempt. The two types of pension plans are defined benefit plans and defined contribution plans. A defined benefit plan guarantees an amount upon retirement no matter how the investment performed. A defined contribution plan is not a guaranteed amount and heavily depends on the investment performance.
Answer:
P-value is greater than the significance level, we fail to reject null hypothesis.
Explanation:
Here,
Sample size = n = 120
Sample proportion = p = 0.6500
Population Proportion =
= 0.5
Level of significance = α = 0.02
<u />
<u>Step 1:
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: p = 0.5
: p < 0.5 (Left tailed test)
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<u>Step 2:
</u>
The critical vale is = 2.0537
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<u>Step 3: </u>
The test statistic is,
z = 
<u>Step 5:
</u>
Conclusion using critical value: Since the test statistic value is greater than the critical value, we fail to reject null hypothesis.
<u>Step 6: </u>
Conclusion using P-value: Since the P-value is greater than the significance level, we fail to reject the null hypothesis.
This is based on income. Income segmentation is when the consumers are segmented as per the yearly or regular income they are making. Income segmentation is best suitable for merchandises which are very exact, position and are valued high. It helps businesses to comprehend the relation between the making of a customer, the value being vacant by the company and the number of possible customers that a business can have.
Because the New Testament is about Jesus