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3 years ago

14

A coin that, when flipped, comes up heads with probability p is flipped until either heads or tails has occurred twice. Find the

expected number of flips.

1 answer:

scZoUnD [109]3 years ago

7 0

Answer:

Following are attached the images for step by step solution.

I HOPE IT WILL HELP YOU A LOT!

Step-by-step explanation:

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

Allisa [31]

Answer:

The condition are

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

The check revealed that

There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 5 \ year$

The sample size is n = 20

The sample mean is $\= x = 4.6 \ years$

The standard deviation is $\sigma = 2.2 \ years$

The Null hypothesis is $H_o : \mu = 5$

The Alternative hypothesis is $H_a : \mu < 5$

So i will be making use of $\alpha = 0.05$ level of significance to test this claim

The critical value of $\alpha$ from the normal distribution table is $Z_\alpha = 1.645$

Generally the test statistics is mathematically evaluated as

$t = \frac{\= x - \mu}{ \frac{\sigma }{\sqrt{n} } }$

substituting values

$t = \frac{ 4.6 - 5}{ \frac{2.2}{\sqrt{20} } }$

$t = -0.8131$

Looking at the value of t and $Z_{\alpha }$ we see that $t < Z_{\alpha }$ so we fail to reject the null hypothesis

This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0

2 years ago

If you roll two number cubes, what is the probability of their sum being seven or higher?

DIA [1.3K]

27 rolls of being 7 or higher

8 0

2 years ago

Read 2 more answers

Help a sis out ??

REY [17]

Answer:

B

Step-by-step explanation:

let base be b then height h = 2b + 4

The area (A) of a triangle is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height ) , then

A = $\frac{1}{2}$ b(2b + 4) ← distribute parenthesis

A = b² + 2b

When b = 16 , then

A = 16² + 2(16) = 256 + 32 = 288 in²

7 0

2 years ago

Ok I’m actually dumb lol help me please.

mezya [45]

Answer:

x =20

Step-by-step explanation:

As a line is 180 degrees

So 7x + 40 would be 180, which would lead us with the equation:

7x+40=180

=7x =140 (minus both sides by 40)

=x =20 (divide both sides by 7)

3 0

3 years ago

If 1/4 inch= 8 feet, how many inches would 136 feet be

Paha777 [63]

Answer: 4.25 inches of 4 and 1/4 inches.

Explanation: Use the information already given to you 1/4 of a inch = 8 ft. So if you have 4/4 of an inch that would equal one inch and one whole inch would equals 32 ft. ( 8 x 4 )Divide 136 by 32 and you’ll get your answer.

7 0

2 years ago

Read 2 more answers