MEDIUM
Diploma
IMPORTANT
Earn 100

1% of fuses in a large box of fuses are faulty. What is the largest sample size that can be taken if it is required that the probability that there are no faulty fuses in the sample is greater than 0.5?

50% studentsanswered this correctly

Important Questions on Valid Comparisons and Informed Decisions: Probability Distributions

MEDIUM
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14E>Q 3
If X~B(n,0.2) and P(X≥1)>0.75 find the least possible value of n.
MEDIUM
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14E>Q 4
The probability that Anna scores a penalty goal in a hockey competition is 0.3. Find the least number of penalty attempts that she would need to make if the probability that she scores a goal at least once is greater than 0.95
MEDIUM
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14E>Q 5
Find the least number of times an unbiased coin must be tossed so that the probability that at least one tail will occur is at greater than or equal to 0.99.
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14F>Q 1
A fair coin is tossed 40 times. Find the expected number of heads.
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14F>Q 1
A fair dice is rolled 40 times. Find the expected number of sixes.
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14F>Q 1
A card is drawn from a pack of 52 cards, noted and returned. This is repeated until 40 cards have been drawn. Find the expected number of hearts.
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14F>Q 2
X is a random variable such that X~Bn,p. Given that the mean of the distribution is 10, and p=0.4, find n.
EASY
Diploma
IMPORTANT
Mathematics : Analysis and Approaches Standard Level Course Companion>Chapter 14 - Valid Comparisons and Informed Decisions: Probability Distributions>Exercise 14F>Q 3
A multiple choice test has 15 questions, and each question has four possible answers. There is only one correct answer per question. If X is "the number of questions a student guesses correctly", find: the distribution of X.