The average number of calls received per hour by an insurance company switch board is 5. Calculate the prebolity that in a working day of 8 hours the number of calls received will be; i. exactly 36
ii. Is between 42 and 45
Calculate this exact probabilities and also the approximate Probabilities using a normal aproximation.​

Step-by-step explanation:

Q2. Choose the correct option:

1)A plastic that can be heated and remolded

a) Polythene

b) Thermosetting plastic

c) Thermoplastic

d) Polyester

2)Which of the following is a cash crop:

a) Pepper

b) Cereals

c) Banana

d) Pulses

3)is caused by a bacteria :

a) Common cold

b) Chicken pox

c) Ringworm

d) Tuberculosis

4)Ais a modern tool used to plough the land.

a) Cultivator

b) Harvester

c) A plough

d) Khurpi

5)The first antibiotic discovered was:

a) Staphylococcus

b) Streptomycin

c) Penicillin

d) Tetracycline

6)The fabric used for making bags should be:

a) Light

b)water

c) Have high tensile strength

d)All of the above

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}