Binomial and Poisson Distribution

Is the following Poisson or binomial distribution:

Hospital records show that of patients suffering from a certain disease,75% die of it. What is the probability that 6 randomly selected patients, 4 will recover?

• Poisson

• Binomial

• Neither

If electricity power failures occur with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.

• Poisson

• Binomial

• Neither

There is an average (mean) of 3 road construction projects that take place at any one time in a city. Find the probability that exactly 5 road construction projects are currently taking place. [Assume road construction projects take place randomly.]

• 0.6000

• 0.0112

• 0.1404

• 0.1008

Suppose it has been observed that, on average,180 cars per hour pass a specified point on a particular road in the morning rush hour. Due to impending roadworks it is estimated that congestion will occur closer to the city centre if more than 5 cars pass the point in any one minute. What is the probability of congestion occurring?

give your answer to 4 decimal places

Suppose the average number of lions seen on a 1-day safari is 5. What is the probability that tourists will see fewer than four lions on the next 1-day safari?

give your answer to 4 decimal places

A shop sells radios at a rate of 2.5 per week.

Find the probability that in a two-week period the shop sells at least 7 radios.

Give your answer to 4 decimal places.

30% of all dogs in a city are micro-chipped. In a sample of 500 dogs, what is the probability that less than 140 dogs are micro-chipped? Select the closest option.

• 0.25

• 0.21

• 0.17

• 0.13

If electricity power failures occur with an average of 3 failures every twenty weeks, calculate the probability that there will not be more than one failure during a particular week.

• Poisson

• Binomial

• Geometric

• Hyper geometric

In one report, 54% of Malaysians buy locally made cars. If 8 peoples who just bought new cars are selected at random, find the probability that (a) at least 2 of them bought locally made cars, (b) more than 6 of them bought locally made cars.

• 0.9792; 0.05650

• 0.8192; 0.15650

• 0.8792; 0.25650

• 0.9192; 0.15650