What may the study of batting in softball be classified as?

A pharmacist receives a shipment of 22 bottles of a drug and has 4 of the bottles tested. If 6 of the 22 bottles are contaminate

romanna [79]

Explanation:

A hypergeometric distribution as a function of statistical distribution where members from two groups are analysed, without replacing those members. Unlike binomial distributions, in which the probability remains the same for each trial, in hypergeometric distributions, these members are not replaced- each trial's probability affects the probability within next trial.

This is used in the process of random sampling and as a means of quality control in statistics; for example selecting members of a sports team from a mixed population of boys and girls.

Hypergeometric Formula..,

For a population consisting of N items, k are successes. And a random sample from that population consisting of n items, x of which are successes.

∴ hypergeometric probability is:

h(x; N, n, k) = [ kCx ] [ N-kCn-x ] / [ NCn ]

this distribution always has...

its mean= n * k / N .
its variance is n * k * ( N - k ) * ( N - n ) / [ N2 * ( N - 1 ) ] .

Thus….

Total number of bottles = 22

Number of contaminated bottles = 6

Number of tested bottles = 4

X= a random variable representing the number of contaminated bottles selected for the test.

N = 22

K = 6

n = 4

The probability mass function, f(x), is given by...

P(X=x)) = [ kCx] [ N-kCn-x ] / [ NCn ] x= 0,1,2,3,...,n

= $\frac{[6 C 1] [22-6 C 4-1]}{[22 C 4]}$

OR

$\frac{C\left \ {{k=6} \atop {x=1}} \right. C\left \ {{22-6} \atop {4-1}} \right. }{C \left \ {22} \atop {4}} \right. }$

$Cxk= C14= 4!(1!(4 - 1)!)^{-1}= 24(6)^{-1}= 4\\Cn-xN-k=C\left \ {{22-6} \atop {4-1}} \right. } =16!(4!(16-4)!)^{-1}\\(CnN)^{-1}=(C \left \ {{y=22} \atop {x=6}} \right. ) ^{-1}=[22!(6!(22-6)!)^{-1}]^{-1}$

f(x)= p= P(X=1)=0.45933014354067

P(that more than 1 of the tested bottles is contaminated);

P(X>1)=1−P(X≤1)=1−(P(X=0)+P(X=2))

P(X>1)=0.291866028708134

Probability that one is contaminated: 0.4593(4 dec places)

Probability that more than one is contaminated: 0.2919 (4 dec places)

Learn more about calculating probability at brainly.com/question/4021035

Learn more about calculating event probability at brainly.com/question/6649771

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7 0

3 years ago

What is the drainage of the small saphenous vein?.

sashaice [31]

Small saphenous vein travels up the back of your calf and ends behind your knee. It drains into your popliteal vein.

What is the saphenous vein?

Blood vessels in your legs called saphenous veins assist in returning blood from your feet and legs to your heart.
Each of your legs has two saphenous veins.
Your large saphenous vein and tiny saphenous vein are known by these names.
The longest vein in your body, the great saphenous vein runs from the bottom of your foot to the top of your thigh.
It is also referred to as the long saphenous vein.

Function of saphenous vein:

The circulatory system in your body includes saphenous veins.
Your body's circulatory system maintains a steady flow of blood throughout it.
Your blood is always moving.
That's because it's responsible for supplying all of your organs and tissues with oxygen and nutrients.
Every minute of every day, this occurs.

Therefore, saphenous vein drains into your popliteal vein.

To learn more about saphenous vein click on the link

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8 0

1 year ago

Emma was a 49 year old married mother of two children. She worked full time and as part of her job she drove extensively all ove

Wittaler [7]

Answer:

Post traumatic stress disorder (PTSD)

Explanation:

6 0

3 years ago

Janie is taking an exam in her history class. On the exam, there is a question that asks her to state and discuss the five major

tresset_1 [31]

Answer:

<em>Janie was suffering from the tip-of-the-tongue- phenomenon. Letter C</em>

Explanation:

The tip- of- the- tongue- phenomenon is a state in which a person cannot recall a family word but can recall words of similar form and meaning.

5 0

3 years ago

The nurse is caring for a young woman with breast cancer. the stress between the woman and her husband is obvious, as is anxiety

TEA [102]

The nurse should develop an educational program to help educate the Husband on the condition his wife has while providing support so they can understand the possibilities of what the cancer does and what actions they will have to take and help her as much as they can.

5 0

3 years ago