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3 years ago

The data set below represents

1 answer:

7 0

Finland behind a new of discrimination against Jews and the most common forms of discrimination which existed against discrimination

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Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that for at least one of

sasho [114]

Answer:

a)0,45119

b)1

Step-by-step explanation:

For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)

$P=\frac{1}{365} *\frac{1}{365}=\frac{1}{133225} \\$

Now the poisson approximation is used

λ=nP=80000*1/133225=0,6

Now, let X be the number of couples that birth April 30

P(X ≥ 1) =

1 − P(X = 0) =

$1-\frac{(e^-0.6)*(-0,6)^{0} }{0!}$

P(X ≥ 1) = 0,45119

B) Now want to find the

probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday

$P=52*\frac{1}{365} *\frac{1}{365}=\frac{52}{133225} \\$

Now the poisson approximation is used

λ=nP=80000*52/133225=31.225

Now, let X be the number of couples that birth same day

P(X ≥ 1) =

1 − P(X = 0) =

$1-\frac{(e^-31.225)*(-31.225)^{0} }{0!}$

P(X ≥ 1) = 1

6 0

3 years ago

The population mean annual salary for environmental compliance specialists is about $63,500. A random sample of 35 specialists i

Anastasy [175]

Answer:

0.003

Step-by-step explanation:

By formula we know that:

z (x) = (x - m) / [sd / sqrt (n)]

where x is the value we want to know (60,000), m is the mean (63500), sd is the standard deviation (6100) and n is the sample size (35).

Replacing we have:

z (60000) = (60000 - 63500) / [6100 / sqrt (35)]

z = -3.39

If we look in the normal distribution table (attached), we have that the probability is 0.0003.

6 0

3 years ago

Use a calculator to approximate the measure of the acute angle A to the nearest tenth of a degree. sin A=0.7793 ∠A =

padilas [110]

The area is the next problem

7 0

3 years ago

Find the product of 4025 multiply 5 by using properties

strojnjashka [21]

Answer:

Change 4020 to 4000 + 25.

Then use the distributive property.

4025 * 5 = (4000 + 25) * 5 = 4000 * 5 + 25 * 5 = 20,000 + 125 = 20,125

6 0

3 years ago

Jodi's car used 12 gallons of gas to travel 456 miles. How many miles did her car even per gallon of gas

Paraphin [41]

Divide 456/12
you get 38
so the answer is 38 miles per gallon of gas.

8 0

4 years ago

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