A student takes a ten-question true/false exam. By using the binomial distribution,

Find the probability that the student gets exactly six of the questions right simply by guessing the answer on every question.

A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.

What is the probability that no more than 2 patients will arrive in an hour? (=0.0498)

A hospital records the number of emergency room (ER) arrivals due to cardiac issues. Historically, an average of 3 patients with cardiac issues arrive per hour.

What is the probability that exactly 5 patients with cardiac issues will arrive in a specific hour?

The case

study mentions attacks in the Suez Canal and the effect of climate change on

the Panama Canal. This has influenced global shipping routes. In the aftermath of recent attacks in the Red Sea, vessels

are opting to bypass the Suez Canal and navigate around South Africa's Cape of

Good Hope. This shift has disrupted the crucial global shipping routes,

compelling ships to add another 15 days to their journeys, accompanied by

increased costs. These cargo delays and increased delivery times will

influence supplier selection and assessment. Look at figure 5.2 in the

prescribed book. Due to the above scenario the evaluation criteria change as

follows:

On-time delivery (15)

Fill-rate (0)

Cost reduction materials (5)

Cost reduction transport (20)

Question: Which supplier is now the least preferred overall?

Let

X be the random variable with probability distribution function    

Let

X be the random variable with probability distribution function    

Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution

Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution

Borachio works in an automotive tire factory. The number X of sound but blemished tires that he produces on a random day has the probability distribution