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SVETLANKA909090 [29]
3 years ago
6

Help Please im struggling dont have to answer just please explain what I have to do

Mathematics
2 answers:
Nikitich [7]3 years ago
8 0
I solved the first one, the second one was a bit confusing to me

8090 [49]3 years ago
7 0

Answer:

which one do you need help on?

Step-by-step explanation:

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The U.S. government has devoted considerable funding to missile defense research over the past 20 years. The latest development
Bad White [126]

Answer:

a) Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

X \sim Bin(n =20, p=0.8)

b) X \sim Bin(n =20, p=0.8)

c) P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

d) P(X \geq 15) = P(X=15)+ .....+P(X=20)

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218

P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205

P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137

P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058

P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012

P(X\geq 15)=0.804208

e) E(X) = np = 20*0.8 = 16

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".

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

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

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

Part a

Let the random variable X= "number of these tracks where SBIRS detects the object." in order to use the binomial probability distribution we need to satisfy some conditions:

1) Independence between the trials (satisfied)

2) A value of n fixed , for this case is 20 (satisfied)

3) Probability of success p =0.2 fixed (Satisfied)

So then we have all the conditions and we can assume that:

X \sim Bin(n =20, p=0.8)

Part b

X \sim Bin(n =20, p=0.8)

Part c

For this case we just need to replace into the mass function and we got:

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

Part d

For this case we want this probability: P(X\geq 15)

And we can solve this using the complement rule:

P(X \geq 15) = P(X=15)+ .....+P(X=20)

P(X=15)=(20C15)(0.8)^{15} (1-0.8)^{20-15}=0.17456

P(X=16)=(20C16)(0.8)^{16} (1-0.8)^{20-16}=0.218

P(X=17)=(20C17)(0.8)^{17} (1-0.8)^{20-17}=0.205

P(X=18)=(20C18)(0.8)^{18} (1-0.8)^{20-18}=0.137

P(X=19)=(20C19)(0.8)^{19} (1-0.8)^{20-19}=0.058

P(X=20)=(20C20)(0.8)^{20} (1-0.8)^{20-20}=0.012

P(X\geq 15)=0.804208

Part e

The expected value is given by:

E(X) = np = 20*0.8 = 16

5 0
3 years ago
Please help i have no clue what to do <br> i suck at math
beks73 [17]
The first one is 63.9 and the second should be 116.1
3 0
3 years ago
Ernie Rolph borrowed ​$3200 at 10​% annual simple interest. If exactly 1 year later he was able to repay the loan without​ penal
Setler [38]

Answer:

$320

Step-by-step explanation:

From simple interest formular

A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained

int=Rt where R is rate of interest in decimal form, t is duration

The rate of 10% converted to decimal is 10/100=0.1

Substituting P for $3200, R for 0.1 and t for 1 year

A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520

To find the interest, it's A-P hence $3520-$3200=$320

Therefore, interest owed is $320

6 0
3 years ago
X - 2/5= 7<br> find out what x is
nalin [4]

Answer:

see below

Step-by-step explanation:

x - 2/5= 7

Add 2/5 to each side

x - 2/5 + 2/5 = 7+2/5

x = 7 2/5

or if

( x-2) /5 = 7

Multiply each side by 5

(x-2) /5 *5 = 7*5

x-2 = 35

Add 2 to each side

x-2+2 = 35+2

x = 37

8 0
3 years ago
Read 2 more answers
Answer?........................
ad-work [718]

Answer:

x- intercept = - 1 , y- intercept = 2

Step-by-step explanation:

the x- intercept is the value of the x- coordinate where the curve crosses the x- axis , that is

x- intercept = - 1

the y- intercept is the value of the y- coordinate where the curve crosses the y- axis , that is

y- intercept = 2

4 0
2 years ago
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