Basic Statistic Revision - Mathematics Assignment Help

Assignment Task

1. Find following probabilities using Z table,

i. P(0<z<2.25)

ii. P(-2.25<z<0)

iii. P(-2.25<z<1.25)

iv. P(z<1.25)

v. P(z<-2.25

2. The weights of meat packs are normally distributed with mean 2.5 kg and standard deviation 0.75. What is the probability that a randomly selected broiler pack has a weigh between 1.85 and 1.9 kg?

3. The height of chili plant is normally distributed with mean 98.5 cm and standard deviation = 4.9 cm. Find the height (x0) of chili plant such that 20% of plant is less than that height (x0)?

4. Assume z is the standard normal random variable. If the area between zero and z is 0.4115, find the z value?

5. A Company produces “25 g” cups of curd. The true amounts of curd in cups of this brand of curd follow a normal distribution with a mean μ=23.2 g with a standard deviation s = 0.225 g.

i. What proportion of the cups are under-filled (i.e., have less than 25 g of curd)?

ii. What proportion of the curd cups contain between 25 and 25.3 g of curd?

iii. 95% of cups of this brand of curd will contain more than x0 amount of curd?

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