How would one solve √45/3
1 answer:
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Answer:
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215
Step-by-step explanation:
A hypergeometric distribution is a discrete probability distribution that describes the probability of successes in draws with each draw being a success or failure, without replacement from a finite population size that contains exactly the same objects. The general formula is given as:
where:
h(x) is the probability of x successes,
n is the number of attempts,
A is the number of successes
N is the number of elements
For this problem:
A = 30, x = 5, N = 50, n = 10
The probability of drawing 5 gumdrops in 10 picks from the dish P(x=5) is
P(x=5) = 0.215
The probability of drawing 5 gumdrops in 10 picks from the dish is 0.215
Answer:
So on this case the 90% confidence interval would be given by (10.013;10.147)
Step-by-step explanation:
Previous concepts
A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".
The margin of error is the range of values below and above the sample statistic in a confidence interval.
Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".
represent the sample mean for the sample
population mean (variable of interest)
represent the population standard deviation
n represent the sample size
Solution to the problem
The confidence interval for the mean is given by the following formula:
(1)
In order to calculate the mean and the sample deviation we can use the following formulas:
(2)
(3)
The mean calculated for this case is
Since the Confidence is 0.90 or 90%, the value of and
, and we can use excel, a calculator or a tabel to find the critical value. The excel command would be: "=-NORM.INV(0.05,0,1)".And we see that
Now we have everything in order to replace into formula (1):
So on this case the 90% confidence interval would be given by (10.013;10.147)
The dryer costs x.
The washer costs $93 more than the dryer, so it costs x+93.
The washer and the dryer cost $793 altogether.
The cost of the dryer is $350.
The washer costs $93 more than the dryer, so it costs x+93.
The washer and the dryer cost $793 altogether.
The cost of the dryer is $350.