Merlin worked these hours during the week: 4.5, 8.75, 9.5, 10, and 4.25 hours. What was his gross pay for the week, if he makes
2 answers:
Answer: $361.86
Step-by-step explanation:
Given: Merlin worked these hours during the week:
4.5, 8.75, 9.5, 10, and 4.25 hours.
The total hours he worked = hours
To find the total gross pay for the week, we need to multiply the rate of 1 hour work by the total number of hours he worked.
The money make in 1 hour = $9.78
Therefore, his gross pay for the week=
His gross pay for the week=
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Answer:
So then the probability that the batch would be accepeted is:
Step-by-step explanation:
The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".
Let X the random variable of interest, on this case we now that:
On this case p=0.04 represent the probability that a random the tablet would be NOT accepted
The probability mass function for the Binomial distribution is given as:
Where (nCx) means combinatory and it's given by this formula:
They accept the batch if there is only one or no tablet that doesn’t meet the test specification, so let's find the individual probabilities for this case:
So then the probability that the batch would be accepeted is:
Answer: 68
Step-by-step explanation:
Formula for sample size when prior estimate of population proportion (p) is available:
, where z*= critical-value.
E= Margin of error.
Let p be the population proportion of trees are infected with the citrus red mite.
As per given , we have
E= ± 0.08
The critical z-value corresponding to 90% confidence level = z*=1.645
Substitute all the values in the above formula , we get
Required sample size :
[Rounded to next integer.]
Thus, the minimum sample size should be taken =68