Purchase Solution

Probability and Roravirus

Not what you're looking for?

(a) A student is taking a true-false exam with 20 questions. Assuming that this student guesses at all the 20 questions.
(i) Determine the probability that this students gets either fourteen or sixteen answers correct.
(ii) Approximate the probability obtained in part (i) by an area under a suitable normal curve.
(b) (i) Under what circumstances do we have to make use of the continuity correction factor?
(ii) If X is a random variable and n is the number of possible observations. Write all the five possible formulas we can apply continuity correction for x.
(c) Acute rotavirus diarrhea is the leading cause of death among children under the age of 5, killing an estimated 4.5 million annually in development countries. Scientists from Finland and Belgium claim that a new oral vaccine is 80% effective against rotavirus diarrhea. Assuming that the claim is correct, find the probability that, out of 1500 cases, the vaccine will be effective in
(i) Exactly 1225 cases
(ii) At least 1175 cases
(iii) Between 1150 and 1250 cases

Solution Summary

A fe problems related to probability. Also, a rotavirus diarrhea vaccine, statistics problem.

Solution Preview

NOTE: This posting was deserving 4 credits (NOT 2) -- you can see the effort has gone in it. Please raise a dummy posting of 2 credits in my favour. Thank you.

(a) Probability of a correct answer, p = 1/2 == 0.5
Probability of a wrong answer, q = 1 - 1/2 = 1/2 == 0.5

Probability r out n correct answers = C(n,r)*p^r * q^ (n-r)

Hence, probability of 14 correct answers,
P(14) = C(20, 14) * (0.5)^14 * (0.5)^6
= (20*19*18*17*16*15)/(1*2*3*4*5*6) * (0.5)^20 = 0.03696

Probability of 16 correct answers,
P(16) = C(20, 16) * (0.5)^16 * (0.5)^4
= ...

Solution provided by:
Education
• BEng, Allahabad University, India
• MSc , Pune University, India
• PhD (IP), Pune University, India
Recent Feedback
• " In question 2, you incorrectly add in the \$3.00 dividend that was just paid to determine the value of the stock price using the dividend discount model. In question 4 response, it should have also been recognized that dividend discount models are not useful if any of the parameters used in the model are inaccurate. "
• "feedback: fail to recognize the operating cash flow will not begin until the end of year 3."
• "Answer was correct"
• "Great thanks"
• "Perfect solution..thank you"

Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.