Natasha Awada, Paul La Rondie, Laurie Buchanan and, Jill Stevens Solutions for Chapter: Valid Comparisons and Informed Decisions: Probability Distributions, Exercise 20: Exercise 14E

If $X~\mathrm{B}(n,0.6) \mathrm{and} \mathrm{P}(X<1)=0.0256$, find $n$.

$1\%$ 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 $0.5$?

If $X~\mathrm{B}(n,0.2) \mathrm{and} \mathrm{P}(X\ge 1)>0.75$ find the least possible value of $n$.

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 $0.95$

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 $0.99$.