Mr. Smith is interested in product servicing requirements. The probability a product needs extra servicing is 0.3. Out of 5 products, what is the probability at least 1 needs extra servicing? O 0.231 O 0.360 O 0.168 O 0.832 QUESTION 2 Given a normal distribution with mean = 100 and standard deviation = 10, between what two values symmetrically distributed around the mean will 80% of the values lie? O 80.4 to 119.6 O 87.2 to 112.8 O 74.5 to 124.5 O 91.6 to 108.4 QUESTION 3 Mark the only correct response O The histogram is for categorical, not numerical, data. O According to the Chebychef theorem the standard deviation in a normal distribution must be smaller than the square root of the mean. The categories in a Pareto chart are ordered by decreasing frequency of occurence (so an analyst can quickly see which causes contribute to an issue) O The hypergeometric distribution assumes the probability does not change from case to case. QUESTION 4 At a bank investments table, an average of 2.8 people arrive per hour. What is the probability that any arrivals occur in an hour? O 0.1703 O 0.0808 O 0.8583 O 0.9392 QUESTION 5 State which of the following is true. O In a normal distribution the interquartile range is approximately 90% of the observations According to the Chebychef theorem in a normal distribution only at least half the observations are within 1 standard deviation of the mean the bar chart has largely replaced the rarely-used histogram for numerical data. JA distribution with a sharper peak (one that has a higher concentration of values in the center of the distribution) than a bell-shaped distribution has a positive kurtosis value