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3 years ago

PLEASE GIVE A FULL REASONABLE EXPLANATION IF NOT JUST DONT ANSWER

Mathematics

2 answers:

Andrews [41]3 years ago

6 0

Step-by-step explanation:

Add all the books then find the average

ella [17]3 years ago

3 0

Answer:

The Mean is 6.142

Step-by-step explanation:

The mean is the total of the numbers divided by how many numbers there are.

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A national college researcher reported that 65% of students who graduated from high school in 2012 enrolled in college. Twenty n

Usimov [2.4K]

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\$

a) The probability that exactly 17 of them enroll in college is:

$P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\$

b) The probability that more than 14 of them enroll in college is:

$P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995$

c) Using the probabilities calculated in the point b, we have:

$P(X$

d) The probabilities that more than 24 enroll in college is:

$P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009$

6 0

3 years ago

Nessaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

TEA [102]

Answer:

1/18

Step-by-step explanation:

$\frac{1}{9}$ ÷2

make 2 a fraction

$\frac{1}{9}$ ÷ $\frac{2}{1}$

cross multiply

1*1

9*2

$\frac{1*1}{9*2}$

$\frac{1}{18}$

6 0

3 years ago

Read 2 more answers

The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The

s2008m [1.1K]

Question:

The driving distance between Manchester and London is 195 miles. Faris intends to travel from Manchester to London by coach. The coach will leave Manchester at 3:30 pm. Faris assumes that the coach will travel at an average speed of 50 mph; using his assumption workout Faris’s arrival time in London

Answer:

$Arrival = 7:24pm$