Question

(1 point) Assume that the readings on the thermometers are normally distributed with a mean of O and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. Find the probability of each reading in degrees. (a) Between 0 and 0.41 (b) Between-2.01 and 0: (c) Between-1.11 and 1.98 (d) Less than 0.52 (o) Greater than 0.4

Answer 1

I am using statcrunch calcuator to solve these. Hope it helps!

a) between 0 and 0.41, probability, p = 0.159

Normal Calculator Standard Between f(x) 0.4+ 0.3 0.21 0.1 -1 N+ 3 3 X Mean: 0 PC Std. Dev.: SX<0.41 0.15909703 Compute

b) between -2.01 and 0, p = 0.478

Normal Calculator Standard Between f(x) 0.47 0.3 0.21 0.1 0 2 3 N x Mean: 0 P(2.01 X<0 Std. Dev.: 1 = 0.47778441 Compute

c) between -1.11 and 1.98, p = 0.843

Normal Calculator Standard Between f(x) 0.47 0.3 0.27 0.17 Ot -2 -1 2 Wt X Mean: 0 Std. Dev.: 1 P(-1.11 X 1.98 0.84264872 Compute

d) less than 0.52, p = 0.698

Normal Calculator Standard Between f(x) 0.41 0.3 0.2+ 0.11 2 Wt Mean: 0 Std. Dev.: 1 P(x = 0.52 0.69846821 Compute

e) greater than -0.4, p = 0.655

Normal Calculator Standard Between f(x) 0.47 0.3 0.21 0.1 tm X Std. Dev.: 1 Mean: 0 P(x 2 -0.4 = 0.65542174 Compute

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