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3 years ago

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If the probability of a newborn kitten being female is 0.5, find the probability that in 100 births, 55 or more will be female.

Use the normal distribution to approximate the binomial distribution.
a) 0.8159

b) 0.7967

c) 0.1841

d) 0.0606

1 answer:

amid [387]3 years ago

3 0

Answer:

the answer is A your welcome

Step-by-step explanation:

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A population of mice is increasing exponentially. On Monday there were 120 most. One month later there were 132 most. Ready func

djyliett [7]

Answer:

$y=120 * 1.1^x$ --- function

The monthly rate is 10%

Step-by-step explanation:

Given

Let

$x \to months$

$y \to mice$

So, we have:

$(x_1,y_1) = (0,120)$ --- Monday

$(x_2,y_2) = (1,132)$ --- One month later

Required

The function

The function is represented as:

$y=ab^x$

In $(x_1,y_1) = (0,120)$ , we have:

$120 = a * b^0$

$120 = a * 1$

$120 = a$

$a=120$

In $(x_2,y_2) = (1,132)$ , we have:

$132 = a * b^1$

$132 = a * b$

Substitute: $a=120$

$132 = 120 * b$

Solve for b

$b = \frac{132}{120}$

$b = 1.1$

So, the function is:

$y=ab^x$

$y=120 * 1.1^x$

To calculate the monthly rate (r), we have:

$y =a(1 + r)^x$

Compare to: $y =ab^x$

$1 + r = b$

Make r the subject

$r = b-1$

Substitute $b = 1.1$

$r = 1.1-1$

$r = 0.1$

Express as percentage

$r = 0.1*100\%$

$r = 10\%$

5 0

3 years ago

The surface area of a cone is given by the formula<br> S= il + gn2. Solve the formula for l.

REY [17]

Answer:

l=(S-gn²/)i

Step-by-step explanation:

S= il + gn²
il=S-gn²
l=(S-gn²/)i

7 0

3 years ago

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35=7x. please help me fasttt

AlladinOne [14]

Answer:

x=5

Step-by-step explanation:

35 divided by 7 is 5, so in that case, 7 times 5 is 35.

3 0

3 years ago

Suppose that the probability of a baseball player getting a hit in an at-bat is 0.3089. If the player has 25 at-bats during a we

klio [65]

Answer:

$P(X>9) = 0.3593$

Step-by-step explanation:

Previous concepts

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".

Solution to the problem

Let X the random variable of interest, on this case we now that:

$X \sim Binom(n=25, p=0.3089)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

For this case we want this probability:

$P(X >9)$

And we can use the complement rule like this:

$P(X>9) = 1-P(X \leq 8)= 1-[P(X=0) + P(X=1) +....+P(X=8)]$ And we can find the individual probabilities like this:

$P(X=0) =(25C0)(0.3089)^0 (1-0.3089)^{25-0} =0.0000974$

$P(X=1) =(25C1)(0.3089)^1 (1-0.3089)^{25-1} =0.0011$

$P(X=2) =(25C2)(0.3089)^2 (1-0.3089)^{25-2}=0.00584$

$P(X=3) =(25C3)(0.3089)^3 (1-0.3089)^{25-3}= 0.02$

$P(X=4) =(25C4)(0.3089)^4 (1-0.3089)^{25-4}=0.049$

$P(X=5) =(25C5)(0.3089)^5 (1-0.3089)^{25-5}=0.092$

$P(X=6)=(25C6) (0.3089)^6 (1-0.3089)^{25-6} = 0.138$

$P(X=7) =(25C7)(0.3089)^7 (1-0.3089)^{25-7}=0.167$

$P(X=8) =(25C8)(0.3089)^8 (1-0.3089)^{25-8}=0.168$

And in order to do the operations we can use the following excel code:

"=1-BINOM.DIST(8,25,0.3089,TRUE)"

And we got:

$P(X>9) = 0.3593$

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3 years ago

What is 3³ equal to?

kap26 [50]

Answer:

27

Step-by-step explanation:

3*3*3=27

5 0

2 years ago

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