Stats P7 Step by Step Solution

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STATS P7 STEP BY STEP Solution

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1. A balanced coin is tossed 8 times. Let X denotes the number of heads. Calculate the following: / ‘n Gebalanseerde muntstuk word 8 keer gewerp. Laat X die aantal munte aandui. Bereken die volgende:

1.1 P(X = 5)

1.2 P(X 2)

1.3 P(X > 2)

2. Given/Gegee: Z ~ N ( 0 , 1); Calculate: / Bereken:

2.1 P(- 2.58 < Z < 2.52)

2.2 The value of k in. / Die waarde van k in. P(Z < k) = 0.9881

2.3 P(- 2.18 < Z < -1.82)

2.4 The value of k in. / Die waarde van k in. P(Z > k) = 0.9616

2.5

2.6

2.7

2.8 Find k

2.9 . Find k

2.10 . Find k

2.11 The value of k in : / Die waarde van k in: P(Z > k) = 0.0392

2.12 find / bepaal k

2.13 find k

2.14 find / bepaal a

2.15 The value of k in: / Die waarde van k in: P( Z > k) = 0.9887

2.16 The value of k in: / Die waarde van k in: P( Z < k) = 0.9394 2.17 The value of k in : / Die waarde van k in: P( Z > k) = 0.0823

2.18 The value of k in: / Die waarde van k in: P( Z < k) = 0.0618

3. A luxury passenger liner has 500 passengers on board whose ages are normally distributed around a mean of 60 years with a standard deviation of 12 years. / ’n Luukse passasierskip het 500 passasiers aan boord. Hul ouderdomme word normal verdeel om ‘n gemiddelde van 60 Jaar heen, met ‘n standaardafwyking van 12 jaar.

3.1 How many of the passengers are between 45 and 78 years old? / Hoeveel van die passasiers is tussen 45 en 78 jaar oud?

3.2 What is the minimum age of the oldest 20% of passengers? / Wat is die minimum ouderdom van die oudste 20% van die passasiers?

4. The weight of certain population of young females is approximately normally distributed with the mean of 66 kg and a standard deviation of 7.5 kg. If an individual is…...

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