A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 19,809 children  d. Let a probability of 0.05 or less be​ "very small," and let a probability of 0.95 or more be​ "very large". Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?  A.​Yes, because the probability of more than one case is very large. B.​No, because the probability of more than one case is very large. C.​No, because the probability of more than one case is very small. D.​Yes, because the probability of more than one case is very small.

Question
Asked Oct 17, 2019
A rare form of malignant tumor occurs in 11 children in a​ million, so its probability is 0.000011. Four cases of this tumor occurred in a certain​ town, which had 19,809 children
 
 
d. Let a probability of 0.05 or less be​ "very small," and let a probability of 0.95 or more be​ "very large". Does the cluster of four cases appear to be attributable to random​ chance? Why or why​ not?
 
 
A.
​Yes, because the probability of more than one case is very large.
 
B.
​No, because the probability of more than one case is very large.
 
C.
​No, because the probability of more than one case is very small.
 
D.
​Yes, because the probability of more than one case is very small.
check_circleExpert Solution
Step 1

d.

 

From the given information, the probability is 0.000011 and the number of children is 19,809. That is, p=0.000011 and n=19,809.

Let us define the random ...

e (np)
" (пp)"
P(xx)
х!
P(x>1)1-P(X 1)
1-[P(x=0)+P(X=1)]
021 (0.218
-0215 (0.218)
=1-
0!
1!
-1- [0.8041+0.1753]
-0.0206
help_outline

Image Transcriptionclose

e (np) " (пp)" P(xx) х! P(x>1)1-P(X 1) 1-[P(x=0)+P(X=1)] 021 (0.218 -0215 (0.218) =1- 0! 1! -1- [0.8041+0.1753] -0.0206

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour*

See Solution
*Response times may vary by subject and question
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: A statistics instructor was interested in the proportion of all Kent State students who live on camp...

A: The proportion that students at Kent State live on campus is obtained below:From the given informati...

question_answer

Q: Find z such that 3.3% of the normal curve lies to the left of z

A: It is provided that 3.3% of the normal curve lies to the left of z. The area under a particular z-va...

question_answer

Q: 3. Find the percentage of data points that lie between z1 = picture to support your work. -3.01 and ...

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,...

question_answer

Q: The U.S. Fish and Wildlife Service reported that the mean length of six-year-old rainbow trout in th...

A: It is given that the mean lengths are normally distributed with mean 481 millimetres and standard de...

question_answer

Q: 2.c in pictures

A: Mean of a random variable is nothing but the weighted average of all the values this  random variabl...

question_answer

Q: With a = .01, the two-tailed critical region for a t test using a sample of n = 16 subjects would ha...

A: It is given that the level of significance is 0.01.Sample size,  n = 16.The degrees of freedom is, n...

question_answer

Q: If a procedure meets all of the conditions of a binomial distribution except the number of trials is...

A: Solution:It is given that probability that someone is a universal donor​ (with group O and type Rh n...

question_answer

Q: Refer to the sample data for​ pre-employment drug screening shown below. If one of the subjects is r...

A: The provided data can be summarized as:

question_answer

Q: 6.1 Section Exe Lottery: In the New York State Numbers lottery, you pay $1 and can bet that the sum ...

A: The expected value of profit is obtained below:There is 0.06 chance of profit is $8.50, there is a 0...