A warehouse has 50 shipments, and each independently arrives late with probability $p=0.18$. What is the mean number of late shipments, using $\mu =np$?

In a cafeteria line of 120 students, each student independently chooses a vegetarian meal with probability 0.35. Compute the expected number of vegetarian meals, $\mu =np$.

During a cleanup, 90 bottles are collected, and each independently is recyclable with probability 0.12. Find the mean number of recyclable bottles.

A tablet factory tests 64 tablets, and each independently passes first inspection with probability 0.30. What is $\mu$, the mean number that pass?

A greenhouse plants 40 seeds, and each seed independently sprouts with probability 0.55. What is the expected number of sprouts?

A game app records 70 logins, and each login independently earns a badge with probability 0.45. Use $\mu =np$ to find the mean number of badges.

A clinic sends 85 appointment reminders, and each is independently confirmed with probability 0.60. What mean number of confirmations should the clinic expect?

An automated call system handles 60 calls, and each independently reaches a live agent with probability 0.40. Find $\sigma =\sqrt{np(1-p)}$ to three decimals.

A survey emails 80 families, and each independently submits a response with probability 0.25. What is the standard deviation of the number of responses, to three decimals?

A dairy lab tests 45 samples, and each independently passes a quality check with probability 0.60. Compute the binomial standard deviation to three decimals.

For 100 school network tickets, each ticket independently is a password reset with probability 0.10. Find the standard deviation of the number of password-reset tickets.

A robotics club runs 72 trials, and each trial independently completes the task with probability 0.50. What is $\sigma$ for the number of completed trials?

A farm inspects 30 crates, and each crate independently has a blemish with probability 0.20. Find the standard deviation of the number with blemishes, to three decimals.

At a donation booth, 90 visitors pass by, and each independently donates with probability 0.70. What is the standard deviation of the number who donate?

A binomial model for donated lunches has mean $\mu =15.0$ successes, with success probability $p=0.25$ on each independent trial. Find the number of trials $n$.

Parking sensors have a binomial count with mean $\mu =28.0$ occupied spots and success probability $p=0.40$. How many independent spots are checked?

A follow-up system has a binomial count with mean $\mu =18.0$ completed calls and probability $p=0.60$ per call. Find the number of calls made.

An archery team shoots 80 arrows, and the binomial mean number of hits is $\mu =28.0$. Find the success probability $p$ as a decimal to three places.

A factory scanner checks 110 packages, and the mean number flagged is $\mu =33.0$. What is the success probability $p$, to three decimals?

A greenhouse sensor tests 60 trays, and the binomial mean number detected wet is $\mu =27.0$. Find $p$ as a decimal to three places.