Free Printable Lecture S1C Replacement 1

1.

Choose the correct sign

'probability more than 7'

a)

P(X>7)

b)

P(X<7)

c)

P(X≥7)

d)

P(X≤7)

2.

If X~Po(1.8), find P(2≤X≤4)

a)

0.4285

b)

0.7983

c)

0.5008

d)

0.7260

3.

The random variable Y has binomial distribution Y~B(10,0.4). Find P(3<Y<6)

a)

0.6665

b)

0.7779

c)

0.4515

d)

0.2508

4.

If the expected value is negative, are you expected to win?

a)

yes

b)

no

5.

for binomial @ poisson distribution, $P\left(X>4\right)$

a)

direct use stat. table

b)

$1-P\left(X\le4\right)$

c)

$P\left(X\ge5\right)$

6.

For discrete distribution, $P\left(5<X<11\right)=?$

a)

$P\left(X\ge6\right)-P\left(X\ge11\right)$

b)

$P\left(X\ge5\right)-P\left(X\ge10\right)$

c)

$P\left(X\ge6\right)-P\left(X\ge12\right)$

7.

Given probability density distribution, $P\left(1<X<3.2\right)$ is

a)

$f\left(3.2\right)-f\left(1\right)$

b)

$1-\int_1^{3.2}f\left(x\right)dx$

c)

$\int_1^{3.2}f\left(x\right)dx$

8.

Given cumulative distribution for continuous random variables, find $P\left(X>2\right)$

a)

$F\left(2\right)$

b)

$1-F\left(2\right)$

c)

$\int_0^2f\left(x\right)dx$

9.

Given $F\left(x\right)$ for discrete random variables, find $P\left(X<6\right)$

a)

$F\left(5\right)$

b)

$F\left(6\right)$

c)

$1-F\left(6\right)$

10.

Given $X\sim N\left(30,36\right)$ , find $P\left(X<33\right)$

a)

0.5

b)

0.6915

c)

0.3085

11.

Given $Z\sim N\left(0,1\right)$ , find $P\left(-0.13<Z<1.23\right)$

a)

$P\left(Z>1.23\right)-P\left(Z>0.13\right)$

b)

$P\left(Z>0.13\right)-P\left(Z>1.23\right)$

c)

$1-P\left(Z>0.13\right)-P\left(Z>1.23\right)$

12.

Given $Z\sim N\left(0,1\right)$ , find $P\left(\left|Z\right|>1.5\right)$

a)

$P\left(Z>1.5\right)+P\left(Z<-1.5\right)$

b)

$P\left(-1.5<Z<1.5\right)$

c)

$P\left(Z>-1.5\right)+P\left(Z<1.5\right)$

13.

$X\sim B\left(250,0.2\right)$ , write it approximation distribution

a)

$X\sim N\left(200,50\right)$

b)

$X\sim N\left(50,40\right)$

c)

$X\sim N\left(50,1600\right)$

14.

$P\left(X>3\right)$ write the continuity correction of the

a)

$P\left(X>3.5\right)$

b)

$P\left(X>2.5\right)$

c)

$P\left(Z>3.5\right)$

d)

$P\left(X>4\right)$

15.

Which is the formula of median of grouped data?

a)

$L_k+\left(\frac{d_1}{d_1+d_2}\right)C$

b)

$L_k+\left(\frac{\frac{N}{2}-F_{k-1}}{f_k}\right)C$

c)

$\frac{\sum_{ }^{ }fx}{F}$

16.

Comment this distribution?

a)

negatively skewed

b)

positively skewed

c)

symmetrical

17.

Give the reason why this distribution is positive skewed?

a)

$Q_2-Q_1<Q_3-Q_2$

b)

$Q_2-Q_1>Q_3-Q_2$

c)

$Q_1-Q_2>Q_2-Q_3$

18.

What is median class?

a)

30 - 40

b)

40 - 50

c)

50 - 60

19.

What is size class of the data

a)

9

b)

10

c)

11

20.

Which is the formula of mode of grouped data?

a)

$L_k+\left(\frac{d_1}{d_1+d_2}\right)C$

b)

$L_k+\left(\frac{\frac{N}{2}-F_{k-1}}{f_k}\right)C$

c)

$\frac{\sum_{ }^{ }fx}{F}$

21.

Find the first quartiles class?

a)

20 - 30

b)

30 - 40

c)

40 - 50

22.

Formula range for grouped data?

a)

lower boundary class of largest class - lower boundary class of smallest class

b)

upper boundary largest class - lower boundary smallest class

c)

midpoint of largest class - midpoint of smallest class

23.

size class of this data?

a)

9

b)

10

c)

11

24.

lower boundary of median class?

a)

40.5

b)

39.5

c)

40

25.

What is the observation of $Q_1$ class?

a)

20 - 29

b)

30 - 39

c)

40 - 49

26.

A fair dice is tossed. Calculate the probability of obtaining a prime number?

a)

$\frac{3}{6}$ @ $\frac{1}{2}$

b)

$\frac{4}{6}$ @ $\frac{2}{3}$

c)

$\frac{2}{6}$ @ $\frac{1}{3}$

27.

Find the probability between 20 and 35

a)

$P\left(20<X<35\right)$

b)

$P\left(20\le X\le35\right)$

28.

Given $X\sim N\left(12.2,6.25\right)$ . Find $P\left(X<10\right)$ .

a)

0.1587

b)

0.3446

c)

0.1401

29.

$P\left(11<X\le18\right)$ what is the continuity correction for

a)

$P\left(10.5<X<17.5\right)$

b)

$P\left(11.5<X<18.5\right)$

c)

$P\left(10.5<X<18.5\right)$

30.

$P\left(1.74<Z\le2.33\right)=?$

a)

$1-P\left(Z>1.74\right)-P\left(Z\ge2.33\right)$

b)

$P\left(Z>1.74\right)-P\left(Z\ge2.33\right)$

c)

$P\left(Z\ge2.33\right)-P\left(Z>1.74\right)$

31.

Given $X\sim B\left(150,0.3\right)$ , Find $P\left(X>42\right)$ . Which is correct?

a)

$P\left(Z>-0.45\right)$

b)

$P\left(Z>-0.53\right)$

c)

$P\left(Z>-0.62\right)$

32.

Given that 90% of the candidates who take a English oral test will pass. On a certain day, 12 students take the test.

What suitable distribution should be use?

a)

Poisson

b)

Binomial

c)

Normal

d)

Normal approximation

33.

If 7% of the students in the school has weights more than $m$ kg.
Meaning?

a)

$P\left(X\ge m\right)=0.07$

b)

$P\left(X\ge m\right)=0.07$

c)

$P\left(X>m\right)=0.07$

d)

$P\left(X>7\right)=t$

34.

In a survey it is found that one out of four families own a Proton Wira car. If there is 2800 families. Calculate the mean and standard deviation.

a)

$\mu=700\ ,\ \sigma=525$

b)

$\mu=700,\ \sigma=22.91$

c)

$\mu=2100\ ,\ \sigma=22.91$

Lecture S1C Replacement 1

Total questions: 34

Worksheet time: 20mins

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