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maw [93]
2 years ago
12

The probability that a mature hen will lay an egg on a given day is 0.80. Hannah has 12 hens. What is the probability that 10 of

the 12 hens will lay eggs on a given day? 0.05 0.11 0.20 0.28
Mathematics
2 answers:
Shkiper50 [21]2 years ago
4 0

Answer: 0.28

Step-by-step explanation:

I took the test

OleMash [197]2 years ago
3 0

Answer: 0.28

Step-by-step explanation:

Binomial probability formula :

P(X=x)=\ ^nC_xp^x(1-p)^x , where  x = Number of success , n= sample size , p= probability of success for each trial.

Let x = Number of hens lay eggs.

then, p=  0.80

n= 12

For x=10

P(x=10)=\ ^{12}C_{10}(0.80)^{10}(0.20)^{2}\\\\=\dfrac{12!}{10!2!}\times 0.1073741824\times 0.04\\\\\approx0.28

Hence, the required probability = 0.28

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Bobby has already ran 1 mile on his own, and he expects to run 1 mile during each track practice. How many track practices would
german

Answer:

In order to have ran 33 miles, Bobby would have to attend <em>32 track practices.</em>

Step-by-step explanation:

Solving this problem entails of uncovering the amount of track practices Bobby must attend in order to have ran 33 miles. Start by reading the problem carefully to break down the information provided.

You can see that Bobby has already ran one mile on his own. This is important to remember for later. The problem also states that he expects to run one mile at every track practice.

Setting up an equation will help us solve. Here is how we could set up the equation:

(<em>amount of miles already ran</em> = 1) + (<em>number of track practices</em> = x) = (<em>total miles to run</em> = 33)

1 + x = 33

The equation is now in place. You can solve this, or isolate <em>'x',</em> by using the subtraction property of equality. This means we will subtract one from both sides of the equation, thus isolating the variable.

1 + x = 33

1 - 1 + x = 33 - 1

x = 32

The variable is the only term left on the left side of the equation. This means Bobby must attend track practice <em>32 times</em> in order to have ran 33 miles.

8 0
3 years ago
The number of accidents per week at a hazardous intersection varies with mean 2.2 and standard deviation of 1.4. The distributio
posledela

Answer:

Approximate probability that \overline{X} is less than 2 = 0.1515

Step-by-step explanation:

Given -

Mean (\nu ) = 2.2

Standard deviation (\sigma  ) = 1.4

Sample size ( n ) = 52

Let  \overline{X} be the mean of accidents per week at the intersection during one year (52 weeks) .

probability that \overline{X} is less than 2 =

P(\overline{X}< 2)  = P(\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}}< \frac{2 - 2.2 }{\frac{1.4}{\sqrt{52}}})   Putting (Z =\frac{\overline{X} - \nu }{\frac{\sigma }{\sqrt{n}}})

                 = P(Z< - 1.03)    ( Using Z table )

                 = 0.1515

7 0
3 years ago
What does the correlation coefficient, r, mean?
serious [3.7K]

Answer:

In statistics, the Pearson correlation coefficient, also referred to as Pearson's r, the Pearson product-moment correlation coefficient, or the bivariate correlation, is a measure of linear correlation between two sets of data.

3 0
2 years ago
When simplified, what is the exponential<br>form of the following expression 3⁴.35.36​
matrenka [14]

Answer:

3^4*3^5*3^6 = 3^{15}

Step-by-step explanation:

Given

3^4*3^5*3^6

Required

Simplify

To do this, we apply laws of indices:

a^m * a^n = a^{m+n}

So:

3^4*3^5*3^6 = 3^{4+5+6}

Add the exponents

3^4*3^5*3^6 = 3^{15}

6 0
3 years ago
Identify the statement as true or false.
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The answer to this question is false
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